If the Democratic House impeaches Trump but the GOP controlled Senate refuses to, it will still not help Trump's re-election campaign. If Trump loses re-election, and I strongly suspect he will lose, the right wingers will bitch and moan that the impeachment effort cost Trump re-election, whether it does or not. It will give the right wing moron media something to bitch and moan about for at least 4 more years. They will paint St. Trump as a martyr to unfair political dirty tricks, blah, blah, blah. Whoever wins election will be demonized in a manner that will only be called insane.
The problem for the GOP is, where to next? Double down on the crazy? Try to move away from the crazy? Who will rise to save the GOP from the crazies? How will they battle Faux Nooz idiocy to come? 2021 will be a very interesting year I suspect.