No. There’s a clear line between abortion and infanticide, which is that we legally recognize personhood at birth. That recognition of personhood is a kludge, but it’s the least wrong solution to the problem.
Isn’t the problem here laws permitting forced sterilization? A group in the late 1800s/early 1900s that labeled itself as Progressive pursued a racist and discriminatory policy of eugenics (along with anti-immigration policies, anti-miscengation policies, disenfranchisement of minorities, and a lot of other terrible policy). It was good that this was banned since it was illiberal and discriminatory just as abortion bans are, and it was good that the New Deal Democrats defeated and ended the old Progressive movement.
Those laws do rest on a shaky heap of jurisprudence, but rely on a philosophic idea of personhood, and the generalization of the Enlightenment principles of equal rights and universal equality. You don’t need to drag religion into it at all, since they weren’t established on religious ideas but legal principles. Religion is not the basis for jurisprudence in the US.