If you want to look like a fighter, you should train like one. Obviously you can leave out the sparring, but they don't overdo it on the weightlifting because their focus and energy must be on their sport. Also, the lower division fighters must make weight so they're not able/interested in bulking up by weight training.
Do roadwork (running) to increase aerobic capacity. This is not done at breakneck pace, nor long distances. Typically, 3 miles or so most days at a jog.
Jump rope, shadow box, hit the heavy box. Use interval timers. Try 2 minutes on/1 minute off initially and work up to 3 on/1 off.
Do calisthenics as your main strength training. Even Tyson did this. Lots of push ups, pull ups, sit ups, squats.
I would say 2 lifting sessions would be plenty, so long as you train 5-6 days a week total if you want that look.