Not at all. Preaching is different than pushing. Preaching is just sharing the info and letting the other person decide for themselves.
But you’re right that these anti-abortion laws are “pushing” those beliefs. However, that’s nothing to with religion itself, but people who want to exert control. Religion (the Bible) just becomes a means to do that. It’s an effective tool for those with ill intention because most people don’t really know the Bible, so it’s hard (if not impossible) to argue against somewhen when don’t know all the talking points.
So then the narrative becomes “this is what the Bible says, the Bible is from God, are you going against the word of God?”
When in reality it’s either twisting the words or just a flat out lie. The Bible makes it very clear that God’s people do not get involved with politics.
Specifically it says the world is in the power of the “wicked one”, the devil. Satan also offered Jesus control of all the world powers of Jesus performed one act of worship to Satan. This offer would have been empty, and Jesus would have known it, if Satan couldn’t make on that promise. Jesus also said “God’s people are no part of this world, just as in no part of this world” referring to him rejecting being made king.
The point I’m trying to make is that if someone actually studies the Bible, they would understand that politicizing abortion is just wrong on so many levels.
So Christianity in its common form in the US is about exerting control. But that’s not what Christianity, or religion in general, is about.