If Trump asks for his resignation I doubt if Fauci will resign. He will try and force Trump to fire him. I doubt if Trump will do that until after the election he probably thinks its not worth the “Chad & Karen” bruhaha it will cause pre-election.
Or, it will timed for full effect and the deranged will howl. Twitter will no doubt blow up. So, won’t change the fact he will be looking for new employment. Maybe CNN will hire him.