Unless I report to him directly his management style is hardly my problem. Even if it is directly, well.. honestly don't find that stressful either. If he is being a stupid idiot I'd tell him just that, have in the past. Sometimes, folks like that are even appreciative of the candid feedback.
What is the worst that can happen, I get fired? Please. At worst it isn't a fit, I honestly don't get the big deal and people get so emotionally invested in this stuff.
I get hired to problem solve. If management is not living in reality part of the gig is to push back. Don't value my input we can part amicably, it is only a gig, not life and death.