I suspect not. Cheney had significant health problems. It is entire possible that the pressure of becoming President will trigger a heart attack. Even if it doesn't kill him, which is a distinct possibility, it may force him to resign.
By 2008, the war is going to be unpopular, and he is going to be running on it, if he chooses to run.
Are you sure that it would only be one? Cheney voiced his opinion last year that Iran should have been invaded.
Yes. Unless there is some drastic butterfly action, there will not be a point that invasion is feasible.
But how much difference was there, really, between Cheneyism and Bushism? My impression is that the two men were pretty much in basic agreement about what the administration should do.
So, I'm wondering how much things would really change under a President Cheney. Were there many OTL examples of Bush resisiting something Cheney was pushing for?
The only thing that comes to mind is that, from what I read, Cheney wanted Bush to issue pardons to certain people, and Bush refused.