The push to repeal Obamacare is merely a political act.  Trump promised it during his campaign to get the "Never Obama (or Democrat)" vote.  Now as POTUS, he just wants to take his predecessor's legacy.

How do we know that?  Because he had no better replacement plan.  As the GOP began the repeal process, they actually had to start thinking about what works and what doesn't.  In the end, whatever they put out should have most of the features of Obamacare, which is not perfect but much better than political opponents made it out to be. 

Therefore, the more the GOP tries to change Obamacare, the worse it'll be (and the more Trump will have to "alternative fact" about it).