With this, you are correct. But it is the perversion of other people's morality where it all falls apart. Both Democrats and Republicans will agree and take a moral shared position against abortion, but it is also a moral position to allow an individual their decision. This is where Republicans pervert the Democrat position and reduce their position to simply being "baby murderers."
With this, you are not correct. Because it is the Red States that have vastly banned abortion at the state governing level. Why is that? Republicans have done this because they are basing their State government decision upon the idea of their Christian base, which has long given their allegiance to the Party, based on this abortion crap. Texas, for example, implicitly and explicitly subscribes to a
Christian notion that human life begins at conception
in its legislation. Now, this Texas legislation came with
full support from Conservative Christian groups, as Liberal Christian groups admonished it.
So, to pretend that this is a "purely secular law" across the Red States, who pander to the right-wing religious base, is like declaring that the latest law in Iran's religious government is secular.