I was curious what Bahaullah says about this. I have His "Book of Certitude", and bingo on the first page, first sentence:
"Detach from all that is in heaven and on earth", for those desiring "the shores of the ocean of true understanding".
So, definitely one should detach from "As a human, thinking about which Scripture others should study according to Allah, God, Prophets or I"
True, but I suggest there are other reasons why should a Muslim read and learn Torah and Injil.
"When Allah made (His) covenant with the prophets, (He said): Behold that which I have given you of the Scripture and knowledge. And afterward there will come unto you a messenger, confirming that which ye possess.
Ye shall believe in him and ye shall help him. He said: Do ye agree, and will ye take up My burden (which I lay upon you) in this (matter)? They answered: We agree. He said: Then bear ye witness. I will be a witness with you." 3:81
This verse, suggests that, Allah had revealed to previous prophets, about coming of another future prophet, so, when He comes The previous prophets help Him.
For example, Jesus and Moses were told about Muhammad, according to what Quran says, and it is expected that Jesus and Moses help Muhammad!
How could Moses or Jesus help Muhammad, when, They were not in this world, at the time of Manifestation of Muhammad?
The answer is, Jesus and Moses had told their followers about a future Prophet, so, they are aware, so that when The future Prophet comes, Jews and Christian's help Him (as Moses and Jesus themselves would not be there!). Thus a Muslim needs to be aware where in Toran and Injil a Prophet was prophesied, so, they will make the Christian's and Jews aware, such that, if the Jews or Christians asked Muslims, why should we believe in Muhammad, the Muslims can point them to the verses of Injil and Torah, saying, here the Prophet is mentioned!