Ok here we go. Here's some scriptures that tells of a similar situation as to the one you are describing.
Sameual the Lamanite gave some prophecies about signs in the Heavens and on the earth in relation to CHrist's birth and death. You can read them here:
Helaman 14:3-9
3 And behold, this will I give unto you for a sign at the time of his coming; for behold, there shall be great lights in heaven, insomuch that in the night before he cometh there shall be no darkness, insomuch that it shall appear unto man as if it was day.
4 Therefore, there shall be one day and a night and a day, as if it were one day and there were no night; and this shall be unto you for a sign; for ye shall know of the rising of the sun and also of its setting; therefore they shall know of a surety that there shall be two days and a night; nevertheless the night shall not be darkened; and it shall be the night before he is born.
5 And behold, there shall a new star arise, such an one as ye never have beheld; and this also shall be a sign unto you.
6 And behold this is not all, there shall be many signs and wonders in heaven.
7 And it shall come to pass that ye shall all be amazed, and wonder, insomuch that ye shall fall to the earth.
8 And it shall come to pass that whosoever shall believe on the Son of God, the same shall have everlasting life.
9 And behold, thus hath the Lord commanded me, by his angel, that I should come and tell this thing unto you; yea, he hath commanded that I should prophesy these things unto you; yea, he hath said unto me: Cry unto this people, repent and prepare the way of the Lord.
2 Nephi 1:4-26
4 And it came to pass that in the commencement of the ninety and second year, behold, the prophecies of the prophets began to be fulfilled more fully; for there began to be greater signs and greater miracles wrought among the people.
Many of the prophecies were being fulfilled during this time.
5 But there were some who began to say that the time was past for the words to be fulfilled, which were spoken by Samuel, the Lamanite.
See above for the prophecies.
6 And they began to rejoice over their brethren, saying: Behold the time is past, and the words of Samuel are not fulfilled; therefore, your joy and your faith concerning this thing hath been vain.
The people were rejoicing because Samuel the Lamanites prophecies were not being fulfilled. They told the believers that their faith was in vain becaus ethe prophecies would not be fulfilled.
7 And it came to pass that they did make a great uproar throughout the land; and the people who believed began to be very sorrowful, lest by any means those things which had been spoken might not come to pass.
Basically the non-believers were being boisterous about trhe fact that the believers' beliefs were false. The believers were worried that maybe the signs wouldn't happen, becuase of what the non-believers were saying.
8 But behold, they did watch steadfastly for that day and that night and that day which should be as one day as if there were no night, that they might know that their faith had not been vain.
9 Now it came to pass that there was a day set apart by the unbelievers, that all those who believed in those traditions should be put to death except the sign should come to pass, which had been given by Samuel the prophet.
The non-believers said that if the signs didn't happen by a certain day they would kill all the believers.
10 Now it came to pass that when Nephi, the son of Nephi, saw this wickedness of his people, his heart was exceedingly sorrowful.
11 And it came to pass that he went out and bowed himself down upon the earth, and cried mightily to his God in behalf of his people, yea, those who were about to be destroyed because of their faith in the tradition of their fathers.
12 And it came to pass that he cried mightily unto the Lord all that day; and behold, the voice of the Lord came unto him, saying:
13 Lift up your head and be of good cheer; for behold, the time is at hand, and on this night shall the sign be given, and on the morrow come I into the world, to show unto the world that I will fulfil all that which I have caused to be spoken by the mouth of my holy prophets.
14 Behold, I come unto my own, to fulfil all things which I have made known unto the children of men from the foundation of the world, and to do the will, both of the Father and of the Son—of the Father because of me, and of the Son because of my flesh. And behold, the time is at hand, and this night shall the sign be given.
The prophet Nephi prayed and the Lord told him that the signs would happen.
15 And it came to pass that the words which came unto Nephi were fulfilled, according as they had been spoken; for behold, at the going down of the sun there was no darkness; and the people began to be astonished because there was no darkness when the night came.
The sun goes down and there is no darkness just as Samuel the Lamanite had prophecied.
16 And there were many, who had not believed the words of the prophets, who fell to the earth and became as if they were dead, for they knew that the great plan of destruction which they had laid for those who believed in the words of the prophets had been frustrated; for the sign which had been given was already at hand.
17 And they began to know that the Son of God must shortly appear; yea, in fine, all the people upon the face of the whole earth from the west to the east, both in the land north and in the land south, were so exceedingly astonished that they fell to the earth.
The non-believers were horified that the signs were happening and that they had planned to kill the non-believers. They also know that because the signs happened that Samuel the Lamanites words were true and Christ would come.
18 For they knew that the prophets had testified of these things for many years, and that the sign which had been given was already at hand; and they began to fear because of their iniquity and their unbelief.
19 And it came to pass that there was no darkness in all that night, but it was as light as though it was mid-day. And it came to pass that the sun did rise in the morning again, according to its proper order; and they knew that it was the day that the Lord should be born, because of the sign which had been given.
20 And it had come to pass, yea, all things, every whit, according to the words of the prophets.
21 And it came to pass also that a new star did appear, according to the word.
Signs happen.
22 And it came to pass that from this time forth there began to be lyings sent forth among the people, by Satan, to harden their hearts, to the intent that they might not believe in those signs and wonders which they had seen; but notwithstanding these lyings and deceivings the more part of the people did believe, and were converted unto the Lord.
There were people lying about the signs and tried to convince people they were false. But for the most part people believed.
23 And it came to pass that Nephi went forth among the people, and also many others, baptizing unto repentance, in the which there was a great remission of sins. And thus the people began again to have peace in the land.
24 And there were no contentions, save it were a few that began to preach, endeavoring to prove by the scriptures that it was no more expedient to observe the law of Moses. Now in this thing they did err, having not understood the scriptures.
25 But it came to pass that they soon became converted, and were convinced of the error which they were in, for it was made known unto them that the law was not yet fulfilled, and that it must be fulfilled in every whit; yea, the word came unto them that it must be fulfilled; yea, that one jot or tittle should not pass away till it should all be fulfilled; therefore in this same year were they brought to a knowledge of their error and did confess their faults.
26 And thus the ninety and second year did pass away, bringing glad tidings unto the people because of the signs which did come to pass, according to the words of the prophecy of all the holy prophets.
There's one case. It did convince many non-believers. Was it bad that they were convinced by a sign? No. But the people didn't pray to God to have a certain sign happen just to convince the non-believers. The sign was a natural happening connected with Christ's birth. It's form wasn't dictated by the will of people. It's purpose was not to convince non-believers.
I'm going to post some more so if you comment on this I won't get back to it until I'm done posting the others.
