Mmm. I don't agree. It's not science vs. the Book of Mormon. Science hasn't come up with anything that directly opposes the Book of Mormon.
I believe you're incorrect here. For example, archeologists know that the implements, metals, plants, animals and other artifacts described in the BoM did not exist in America prior to the European migration here. The BoM describes millions of people doing very specific things, and there is no trace of them anywhere in America. The BoM describes enormous battles with thousands of soldiers using swords, bows and arrows, armor, etc., but there is no trace of them. The only possible Mormon response to this is that just because we haven't found a scintilla of archeological evidence to support the BoM doesn't mean we won't someday, so let's just keep faith. The problem, of course, is that by now, 150 years later, we've explored most of the Americas, and we know who lived here, where, how many of them, and how they lived. And they just plain aren't the BoM people, period. They don't match the agricultural, pastoral, metallurgy, etc. etc. of the people described there. For example, they didn't have wheels. Period. No wheels. What happened to the populous BoM people with their wheeled chariots? Did they evaporate?
The only way you can say that science doesn't dispute the BoM is to close your eyes, plug your ears, hum loudly and claim that all of the evidence we've found so far is just inconclusive. However, in doing so, you disagree with all of the experts in many different fields, such as genetics, linguistics, archeology, anthropology and so forth.