You're saying you want to improve your strength and that you've "begun to go with your friend" yet you bench press 235 lbs or so? Being able to bench more than your bodyweight is pretty damn good upper body strength for a beginner.
Day 1: Squat, Lunges, Deadlifts, Powercleans
Day 2: Off
Day 3: Bench Press, Military Press, Clean & Jerks
Day 4: BOR's, DB Rows, Pull Ups, Lat Pulldowns
I'm not in MMA but I'd assume you need to work on explosive movements that build strength, speed, and explosiveness. Compound movements should be your priority.