Did I say it was the only thing that influenced people like this? I don't think I did. They have religious influences there, but far fewer than we do, even from a current government standpoint. From what I understand, it's because their church organizations don't push people on religion like we do here. Politicians don't push it there much either. It's far more acceptable in their culture to believe what you want. Here, on the other hand, we have a culture that treats you as lesser for not believing in God. One more tool to get people started early just piles onto the issues. We can't change our culture now, although it might change in time. That will take baby steps and several changes of generations. We can take larger steps now when it comes to laws like this, though. It's a preventative measure for the future.
I don't believe I said you did. My point is attribution to culture is sometimes used to handwave realistic proposals but are incredibly vague. Like, our culture is different than Finland so the Finnish healthcare system won't work for the US is hardly an answer. Not saying you're aking this kind of comparison just as an illustration.
If they weren't interested in pushing their beliefs they probably wouldn't make mandatory religious education, mandatory prayer, etc. I don't think the intent is any different than Christian fundamentalists. Rather I think the difference is the response. Lack of making religion a public hot button issue, by BOTH sides, where there's an us vs them. And I think that's changing in the US faster than you think. Creationism is falling rapidly, gay marriage was the first major civil rights victory to have approval in the majority of states before a supreme court ruling.
People in power like Pence don't scare me nearly as much now as 10 years ago because the majority of Christians in the US are becoming more liberal. He wouldn't have the sort of evangelical support someone like Bush did.
But some atheists still have this overzealotous 'religion is the enemy of freedom' reaction to anything. And it's alienating potential allies more than it' causing change imo. I saw someone yell at someone else because they said 'God bless you' to a kid after they sneezed. And I care about as much about that as this. I don't see this translating as a Christian overreach out to brainwash our kids.