This is an easy one. There will be no impeachment. Republicans wont even try. How do I know?
Republicans tried it in 1998 and lost seats. On the other hand Democrats/Pelosi held off the Conyers side of the House in 2007-2008 who called for impeachment of GWB even though he was very unpopular, and were rewarded with another big election win in 2008. It's a political reality.
I think after the scorched earth lame duck session the country will be in no mood to tolerate democrap for quite awhile.
I also think he just might be removed from office without an impeachment, if it can be demonstrated that he lacks the Constitutional prerequisites to hold the office, he isn't president and can simply be removed.
Preferably in irons.
More likely? He'll be out of office for health reasons.
Also, if even a few states require proof of natural born status to be on the ballot, he likely won’t run.