Yes, I do think Rudy will be concerned with abortion. Even Abe Lincoln, in the darkest days of the civil war, had a domestic policy (homestead act, transcontinental railroad, etc.) and Rudy will have a social policy. He will sign an Executive Order authorizing government agencies to pay for abortions for military servicemembers and the poor, guaranteed.
Besides the bully pulpit of the presidency that impacts public policy, the Executive Branch executes the law.
This is a powerful area with ominous consequences for the pro-life cause with a pro-abort like Rudy handling the levers of government.
Rudy should be forced to answer questions.
How will Rudy run the various agencies in the Department of Health that affect abortion? What about low dosage estrogen abortifacients---what about the morning-after pill? Will he authroize government-paid abortions for the poor?
What about the military? Will he authorize government-paid abortions for military service members?
Who will Rudy appoint to the UN? Someone who stands firm against the pro-abortion agenda?
Considering his long-term political alliances with NARAL and Planned Parenthood, it is doubtful Rudy can navigate these minefields to the satisfaction of pro-life conservatives.