It already has, and will get worse.
They are cowards deep down because they know deep down right and wrong. Think about the primitive maternal-child bond. Something so tender, so fundamental to the human existence. A crucial bond in the unity of the family.
Your point about child's rights is exactly my point as well: who is more affected by the abortion, the mother, or the child? As soon as they concede what they call the child's "personhood", their whole case crumbles. THIS is key to why some senators don't like the idea of double-homicide charges alá "Laci and Connor's Law".
Now the real question is this: what can regular Joes and Janes do about it?