Depends. How does your wife feel about being used as a drug mule???
Actually, since it’s an island, it’s fairly insulated from most of the mainland crap. I’d still go there with my family.
That said, it used to be VERY safe. Of course that was back when it got 3 cruise ships a week. You could tell when they docked because all the prices went up. Now they get 3 a day and there is just no escaping the cruise ship people. So where it used to be just divers who didn’t party much at night (ever tried to dive with a hangover), usually spoke some Spanish, and were a lot more respectful and knowledgeable. Now there are hordes of people who want to party, expect the locals to speak English, and have more money than sense. This though brings up demand for things that go hand in hand with crime.
So, I think you’ll be just fine. Cozumel depends on tourists so keeping them safe is their number 1 priority. But I’d fly into and out of Cozumel and keep your guard up.