Cheney won't run, he literally won't survive the term.
I will be surprised if you don't see Mitt Romney on the ballot, and he is a good man and a good leader. Him I would vote for if he ran under the chickens with beaks party.
It would be no use. I don't think a Mormon could win the white house right now. Hell, it's nearly impossible for a Catholic to get in there.
And whoever suggested the democratic party wasn't going to be around for long....

Until recently (1994 I think) the democrats held a majority in both houses of congress for more than 40 years straight. At many times during that period democrats held both other branches of government. We're not going to move to a 1-party system, and unless laws are changed it's virtually impossible that a third party could displace democrats. Laws can't change because those changes would kill Republicans and Democrats alike and you may have noticed that the only people with the power to change those laws happen to be about 99% Republican or Democrat.
In 2006 and 2008 the Republican party will be penalized for Bush, losing seats in Congress and then the White House. Then wackos like you, except on my side of the fence will start talking about the Republican party being done for. Or maybe you'll only lose one or the other between Congress and the Presidency. Or neither. But I can guarantee that at least one of those things will happen.