"The Republicans have gained control of all the political branches. "  

Wrong!

The Republicans do not have control of Trump.  Hundreds of millions of dollars was spent by Republican elites and Democratic elites to deny Trump the Whitehouse because both knew he couldn't be controlled by them.  

Will Trump forget that?  I think not.

Will he try to cut deals with them to achieve his agenda?  Do they have any choice but to try to cut deals with him?  I think not. 

The Republicans cannot control him now; they will try to co-opt him.  It will be interesting to see how all that works for both them and him.