I don't know how "constitutional" his rights are, but one of numerous reasons why women choose abortion is because they don't want to be permanently associated with their babies' fathers.
A woman is told that she alone has the right to destroy her baby, but if she keeps it, there's no guarantee she won't lose custody to the father, or have to permit him to visit, or even pay him child support. Once she (and perhaps her advising friends and family) realize that the only way to avoid making "him" a permanent presence in their lives is to abort, they find killing convenient.
Oh, it’s very constitutional. The birth father’s rights are often ignored but in my state the court will appoint a lawyer to represent him even if the mother claims not to know who he is. That lawyer is supposed to seek out the father. If he cannot be found, then constructive notice must be given. It is probably one of the reasons for abortion but its a tangled knot that I’m sure we all agree, cannot simply be cut without horrible consequences.