First of all, this as well as the next Supreme Court vacancy is exactly why we need to stand behind the President and the GOP in both the House and Senate.
All of the petty bickering and fracturing on the Right is going to flush our hopes right down the toilet. If the GOP does not maintain and increase their majority in the Senate, then that 5th vote on the Supreme Court will never happen. If Democrats get even a simple majority in the House they will impeach the President, and any Republican president who follows, so long as they have the power to do so. That is what the Democrats have become.
Of course, Clinton proved that impeachment doesn't matter. Bush would not be removed by the Senate, no matter what happens. The Senate can't muster 66 votes for anything, much less something as controversial and divisive as impeachment.
If I were you, I would not put any money on your theory. Once the Republicans are in the minority, they will cave to everything the Democrats want hoping to appease them and the voters so they can keep what little they have left. Not too much different in what they're doing right now and we haven't even had the election to put the Democrats in charge!