Rumor has it that Bush will nominate Tennessee Senator Mitch McConnell. McConnell is best know for his virulent opposition to campaign finance reform, a process he has more or less single-handedly managed to block in the Senate for years.
McConnell seems likely to be confirmable, not least because despite being virulently anti-abortion, he's also studiously avoided going on the record about whether Roe v. Wade should be overturned -- at least, I have so far found nothing where he claims to want to see it overturned. This gives him plausible deniability for nomination fight.
Is this the guy they want to have a fight over? It's worth noting that McConnell has also been leading the charge to get the filibuster overturned.
Here's some constitutional trivia: as a sitting senator, would he get to vote on his own nomination to the Court?
Update: Oops, that would be Michael McConnell, not Mitch. And him... he's just flat-up unacceptable.