Yes, men are sometimes subject to unwanted physical contact, and are probably not taken as seriously if they complain about it.

But I would be very surprised if the overall number of men experiencing non-consensual touching was greater than the number of women.

It would not surprise me given the pervasiveness of the double standard. I've seen a old woman directly sexually assault a young boy in public and no one call her out on it. It was treated as a joke and even I took a few moments to realize just how differently I reacted compared to if we reversed the genders. The boy played it off as a joke because that is what he was conditioned to do, and it was another incident that will never be reported in any sort of reporting.

There are also numerous self reports by bouncers in bars that point out how bad it gets and the extent of the double standard.

Or consider the case of celebrities openly admitting to such crimes of recent and the vast difference in social reaction based on the gender of the celebrity.

I would very much like to see some evidence to your claim, other than anecdotal.

You have unstated assumptions here. Are you aware that most statistics of victimization intentionally discard data from people who are incarcerated?