I'd talk to your coach first.
If you have other experienced amateur and pro fighters at your gym, they would also be a big help.
The thoughts on training with weights varies widely.
When I trained MMA and Muaythai in Asia, the coaches and pro fighters there didn't lift any heavy weights at all (just the little dumbells, pullups, bodyweight stuff, etc).
In Seattle, I've noticed at the boxing gym, weights are also used very infrequently.
Now, when you do MMA in America, nearly every coach and fighter will tell you to not only lift, but lift with heavy weights (ie squats, rows, deads, powerclean, etc).
So I guess it depends on where you train, what you train for, and what you personally feel works best for you.
Personally I feel skill training is by far the most important aspect, followed by a good diet and good sleep.
So, train as often as possible on technique.
Train with weights as much as you can without making you too tired or sore to train technique.