Opposition to abortion is not (just) founded on Church teachings. It is about the natural law - the very being and essence of all humans. The Church did not invent opposition to abortion, it comes from the essence of being human.
Liberalism is the denial of human nature.
You are right
Abortion and many of the policies of the left violate Natural Law as well as economic principles.
That is why I say you cannot argue with them logically. They follow an internal logic that is believed by presumption. They are irrational and the opposite of irrationality is not reason but force.
I do not like the implications of that statement but it appears to be the truth