In that hypothetical situation, I would vote for Lincoln. I believe he had more foresight and intellect. Washington receives many accolades since he was the first president, but I believe there were many others, namely John Adams, who were truly running the country. While there were many problems that surely arose during Washington's tenure, he never had to endure anything like the Civil War.
Neither matchup is going to happen, so why debate how many angels can dance on the head of a pin?
That I am not so sure of. If I was a betting man, right now I not put money on either Rudy or Hillary being their respective party's nominee. However, there is a possibility. If I was betting, I would put money on Mark Warner and John McCain . . . with Warner being the next president. Hope that's not the case though.
You haven't followed the Republican primary process in recent years have you? I would venture that Lincoln, Washington, or even Fidel Castro have better chances of being the GOP nominee this year than McCain or Giuliani.