I've not seen the baseball-type problems in football. The biggest problem a football coach has is winning - you win, parents like you, if you don't, they don't. I'm not saying that's the way it should be, but it's usually that simple. Usually it's clear who needs the playing time in football, it's just a different animal.I coach 3rd grade pee wee football in a fairly competitive area. The key is the initial practice. I lay out to the parents how everything will work. The games are rewards. Period. Hope your kid earns the reward.
I was coaching Upward basketball a few years ago. Got lucky and had the best team. I was beating everybody, while at the same time playing the shltty kids half the time (had 10 on the team, so everybody played half the game, and the best ones might get an extra period here and there, depending on the math). I found out a year or so later there was STILL a parent that was pissed off about that season, because her son didn't start. The kid didn't suck, but he wasn't good, and he was one of the younger ones. And he played at least half of every game. And we won every game. They are just clueless - and now these parents are all up the single A travel ball circuit trying to manipulate things for their kid.
All that to say, it does seem that football weeds out the middle daddy-baller types, just by the nature of it. It's more of a team unifier more than an individual achievement sort of thing.