There is no need for there to be any conflict. When he speaks at the podium with this President he is NOT speaking to scientists as much as MILLIONS of everyday folks such as us. He can easily and in language we understand state his preference for the FDA way of detail testing to determine the efficacy of Chloroquine and the other medications actually being used NOW to treat the virus.
But he can and should have stated given the dire situation there are others ways this testing can be done to speed up the getting the necessary information and this makes the Presidents idea of using these already FDA approved medications possible at this time (That is after all what is actually happening)
There are real problems with Fauci's attitude, but the conflict would be there whoever held his job. Does it have to be so public? That's also a complicated question since a lot of Fauci's personal characteristics are shared by many other scientists and bureaucrats.
If he is so rigid that he cannot step outside his mindful superior scientific persona then he has no place being any part of the public face of this Administration in this case.
My husband is an engineer, but he also knows how to talk to people. He’s the kind of guy that companies put in front of customers to help explain why one method of doing something works better than another.
For doctors, the comparable equivalent is having a nice bedside manner. People need someone who can explain things and reassure them that whatever treatment you’re about to get is the right one.
Fauci doesn’t do that.
I suspect it's more than that. He's been around DC +/- 40 years. I believe they think of themselves as the 'real' government and Presidents as temporary help.