I would be willing to bet serious money that not only will Guiliani run, but that he will change his position on abortion within the next four years.
Guiliani already changed his position on abortion. Early on in his career when he was considering running for mayor he wanted to overturn roe vs. wade and was pretty pro-life. Of course being mayor of a big city it doesnt really matter what ones position on abortion is. However once Rudy started running for the Senate he changed his position on abortion and became pro-choice because he didnt want Hillary to take away votes from him. I think he might make a compromise with abortion such as supporting a partial birth abortion ban yet still supporting some abortions.