Unlikely. Even they know how risky that would be; another terror attack would make fools out of them, and no one wants to bet that there won't be another terror attack.
Although it is hard to overestimate the foolishness of liberals and Democrats; they can be as wrong as they like, and the press lets them get away with it.
With regard to your concerns, I predict that, If Bin Laden is taken care of, the Democrats will be saying that "the timing seems suspicious" and will be hinting to anyone who will listen that the whole thing was a set-up; that President Bush let him stay free as long as he did for political purposes, and now has taken him out for political purposes too.
And Bob Schieffer will discuss this on Face The Nation, and Frontline will do a documentary about the theory just before the election.
(steely)