Yep the house can repeal it all day long the Senate will not go along with it. Unless we get a miracle and take the Senate too.
Sorry, but it's my expressed opinion that even if the Repubs take the Senate, some form of Obamacare will stay. There simply isn't the political will to completely shitcan the thing.
Both Dems and Repubs agree that the current health care system is brokedick. That, combined with the frivolous tort system, leads to the ol' "Potomac Two-Step" in which the inevitable horse trading will go on and the end result is going to be that a public health care system is going to stay.
I don't like it, but that's what's going to happen. Mark my words.