"If one accepts that there is a God, then one is already moving away from what is scientific. "
- With you so far.
"In that case, is contradiction really that much of a problem?"
- If you are trying to define objective reality then, yes, contradiction is a big problem.
"One must use a critical mind when looking through the Bible, even if one is a believer,"
- If one did that, one would no longer be a believer.
"...but if one has already decided that there is a God, then aren't the contradictions relatively trivial?"
- If you go by the assumption that the bible is perfect then, no, the contradictions it contains are in fact a very serious problem.
"Are the details *that* important?"
- Over the centuries a lot of people have been killed over the details of Christianity. Your lot seems to think those details are very important