Neocon is not a single consistent view.
Most are opposed to Roe vs Wade but for differing reasons. Some Cons push the parts of the constitution that give states strong local decision making. Thus they oppose a Federal law on abortion, but may be neutral on local ones.
There is also a libertarian wedge to NeoCons, who tend to like state rights.
It must be said, that the logic of Ros vs Wade is to me quite incomprehensible. I'm not against abortion, but I fail to see how privacy applies in this context, and I'm not alone in this.
Also there is no overall strong consensus in any large group, especially any educated one against all abortion. A friend of my mother had the misfortune to get pregnant in Ireland before WWII. She was told by doctors it would kill her. So she and the baby died. No abortion was offered or sought.
Nowadays, few would ban this sort of abortion. Others would allow it in the case of rape and/or incest, and so on, but only a minority are that keen on (for instance) the abortion of pregancy on the grounds of sex selection.
Some just want the last possible date moved.
It must also be understood that the US constitution is profoundly differrent from the bollocks the French tried to foist on Europe a few years back.
It is more a set of limits on the power of government. A concept alien to the EU. Thus there is no "right" to abortion in the USA. The court merely said that the government had no right to stop you having one.
Thus you cannot make the government pay for it, for example.
disclaimer: I'm not a lawyer, nor even an American. Please consult a qualified attourney before suing the US government.