You'd be better off posting this in the strength forums, but a mod can move that for you.
There a bunch of different schools of thought on this. Some people dont think that fighters need to lift weights at all, thinking that plyometrics and body weight exercise is all you need. Thats probably true because many experienced coaches have said so, but then again I would estimate that 90% of the guys in the UFC lift.
I'd try to get in 2 days of lifting a week, on days where it would exhaust you for your technique classes. You can use kettlebells to train explosiveness in your hips, or you can do olympic and compound lifts (deadlift, squat, standing overhead press, power cleans, bench press). Personally, I do a twice weekly program of olympic lifts, and work a 25lb kettlebell into my morning strength/conditioning circuits (after I run with the dog)