I agree the US media, as well as Americans of conscience (including, increasingly, GOP members) are playing Trump wrong.
What should be happening is that everyone play Trump like the piano he is.
Figure out what you want, and then call for him to do the opposite.  That will get you the result you want.
Along with his other disorders, oppostional defiance is prominent.  It needs to be better managed by Congress and the "liberal", "fake news" press.
If the Dems were smart, they would have Chuck Schumer start calling for repeal of Obamacare, and demand that NO CHANGES be made.  Schumer should also insist that there be MORE pollution produced by US industry.  
Similar approaches should be taken on taxes, education, and international relations.
You want him to stop tweeting?  Have Schumer begin to re-tweet all Trump's tweets, and call Trump a "Great American, actually in the DEMOCRATIC PARTY TRADITION."
Better yet, get the Clintons to do commercials extolling the virtues of Trump's policies