It could, if the Congress is stupid enough to try to do it. Sen. Leahy didn't think it was a problem when x42 fired ALL of the US Attorneys, and rightly so, because it is the prerogative of the President to do so. Somehow since it's President Bush doing it, it must be WRONG, and the Democrats must right that wrong.
The Constitution clearly laid out three branches of government, each with their own responsibilities and privileges. Congress can't do anything about the decisions made within the Executive Branch except try to impeach the President if they don't like what he's doing. If they want to run their approval numbers even FURTHER into the toilet, I say let them do it!
Since I posted that it has become clear that I was wrong and over-estimated the Democratic response. I’m sure some of that was for the reasons you suggest.