I believe everyone has to find their own truth, and we interpret the Bible and other religious scriptures to enhance our belief. I think the trouble begins when others try to force their truth on you.
The truth about God and his message is not relative and subjective, according to the Bible.
He wouldn't be a jealous God if He were ok with everyone finding there "own" truth. He hated false gods, His law in the Old Testament was extremely specific, He told Josbua not to turn from it to the right or to the left. The New Testament is riddled with passages that describe right and wrong in black and white and allow no wiggle room for a person to have their own truth that conflicts with God's truth.
John 12:48-50
"He who rejects Me and does not receive My sayings, has one who judges him; the word I spoke is what will judge him at the last day. [49] "For I did not speak on My own initiative, but the Father Himself who sent Me has given Me a commandment as to what to say and what to speak. [50] "I know that His commandment is eternal life; therefore the things I speak, I speak just as the Father has told Me."
1 Timothy 4:16
Pay close attention to yourself and to your teaching; persevere in these things, for as you do this you will ensure salvation both for yourself and for those who hear you.
2 Peter 3:16
as also in all his letters, speaking in them of these things, in which are some things hard to understand, which the untaught and unstable distort, as they do also the rest of the Scriptures, to their own destruction.
2 Peter 1:20
But know this first of all, that no prophecy of Scripture is a matter of one''s own interpretation,
2 Timothy 4:3
For the time will come when men will not put up with sound doctrine. Instead, to suit their own desires, they will gather around them a great number of teachers to say what their itching ears want to hear.
1 Timothy 6:3
If anyone teaches false doctrines and does not agree to the sound instruction of our Lord Jesus Christ and to godly teaching,
Galatians 1:6-9
I am astonished that you are so quickly deserting the one who called you by the grace of Christ and are turning to a different gospel--- [7] which is really no gospel at all. Evidently some people are throwing you into confusion and are trying to pervert the gospel of Christ. [8] But even if we or an angel from heaven should preach a gospel other than the one we preached to you, let him be eternally condemned! [9] As we have already said, so now I say again: If anybody is preaching to you a gospel other than what you accepted, let him be eternally condemned!
John 14:6
Jesus answered, "I am the way and the truth and the life. No one comes to the Father except through me.
--Lot of absolutes here.
The God of the Bible does not agree with this premise you described. One cannot believe both in the Bible and in free interpretation, because the Bible is exclusive.
Not telling you what to believe, just informing you that Biblical christianity is not compatible with free interpretation.