The way I do the squatting and leg pressing movements on "quad" day work the hell out of my hams and glutes as well. I use a med-wide stance, toes pointed out, feet out in front / high on the platform, etc.
I've never had any serious hip, knee, or back issues. I never use wraps, and use a belt only when I need it. I put the belt on right before doing a heavy set and take it off as soon as the set is completed.
I do 3-5 warmup sets of squats, then do the 12-15 work sets for quads. I typically work up to around 405-425 for 6-8 reps, then go down to 315-335 for a burnout set of 15-20 reps. From there I count all of the other sets on the remaining several exercises as work sets.
Quads, hams, and glutes have grown like weeds for me from day 1. Calves are genetically weak but decent, but are noticeably overpowered by the rest.