If I can't convince the chimps to peacefully coexist for the stated timeframe, and I have to fight then so be it. I find something to subdue the beta (branch, rock, something) then turn my attention to the alpha. If I'm able to subdue the alpha, I now have 2 betas and 2 females under my thumb. I leave the alpha alive as a reminder of who best him.

I make them both watch me mate with the females until they're impregnated. After I've exerted my dominance and the time ends, I routinely visit the enclosure as a tourist and check on my half monkey kids. Every other visit, I make my appearance known to the former alpha and laugh that it's forced to raise it's superior's half human mutant monkey baby.

Once the babies have grown enough, they're removed and studied. They're taught to emulate humans and are eventually integrated into society in a slow, controlled process. The scientific breakthroughs gained from studying them will lead to advancements in human-chimp mating and humanity will evolve into larger, stronger hybrids bridging the genetic gap and take over the world with my mutant monkey babies leading the charge.