First up, if you have a squat rack then you have a chinning bar. If the rack for the bar can support 80kg of bar and plates, it can support 80kg of Ed.
Aside from that, it sounds like you know what to do already, mate, and just want us to order you to do it. DO IT!
I would just say that with warmups and 5 sets each exercise, you're looking at 6 sets per exercise with 5 exercises, 30 sets in all. Doing 30 sets of things like bicep curls in an hour is one thing, doing 30 sets of things like squats in an hour is another. Between loading and unloading the plates, moving benches and so on, the actual lifting and any stretches afterwards, you're looking at less than a minute's rest between sets.
If you drop your regular weights a bit and have someone there instructing and pushing you, or enormous self-discipline, you can get the 30 sets out. Otherwise, 15-20 sets is more realistic.
For that you'd need to choose three exercises per workout. If you add bent-over barbell rows to the five you've got, then you could have two different workouts, like,
Tues: Squat, bench press, powerclean
Sat: Deadlift, overhead press, barbell rows
The other thing you can do to squeeze a bit of extra work out of your muscles is that if you enter and leave your house through the garage where you workout (I'm imagining the car parked by the weights), put the bar loaded to some middling weight right by the door. Whenever you come to or leave home, pick it up and do a quick set of presses, squats or whatever. This is not a big deal, won't be enough to really make you sweat and won't take up much time, but will help you along a little bit - it could be the difference between that last rep or extra 2.5kg on the next proper workout.
Doing that with some dumbells was the thing that stopped me going completely to crap in my non-training years.