A better question is why would you believe the nonsense that gets posted on the internet?
It’s as if half the people who post here believe that Trump is an incompetent dunce who routinely gets rolled by his staff every single time one of these rumors comes out.
If Trump is not getting rolled is it your conclusion he supports this anti-Israel faction in the State Department? There are many in the US government, including McMaster and Tillerson, who are pushing their own agenda (or that of corporatist America) and calculating that Trump won’t risk more turnover in senior appointees. I think Trump has concluded that he can’t win all the battles and is picking his fights.