Personally I would pick the exercises very carefully. Squats are very hard to superset when doing max effort work. Problem comes with recovery. Squat is really taxing on the whole body, especially on the back, so if you happen to superset squats with pull-ups or similar upper body exercise, it also works on the back muscles. Then you'll never get enough rest for a couple of your muscles = no recovery = no results/several failures + injury risk. For max effort you need more rest, 1.5 minutes isn't enough in most cases. Of course if bw pull-ups/chin-ups are quite light to you the harm isn't so bad. But atleast in my case that does not come to question.
I think the same problem lies within the Bench and Deadlift also. Both of these are full body movements with numerous big muscles working, either supporting or doing the major work. But if one of these muscles is too tired to work max effort, again, the risk of injury grows and the movement most likely fails.
You can always try it out for yourself. For me, it wouldn't work.
This may be part of my problem. I was throwing in a few chins after every set of squats, then resting 2-3 minutes.