I find that stuff interesting.
My father attended a local men's group for many years, and I definitely know it made a powerful difference to him - being in an inclusive group of other men made him a better father to me, and a better husband to my mother.
Of direct benefit to me out of that community (apart from all the close family friends we made over time!) was access to the first
Pathways to Manhood workshop, which I attended as a very young man - I think I was 13 on the first one I went to.
Yes, there are strong cultural overtones to a lot of these groups. The local chapter and the Pathways were both led by a man who had a strong background in Native American culture and mythology.
However, even as a strongly-inclined atheist, I still got a lot of value out of the experience.
The men's groups that I've seen aren't
entirely New-Agey, huggy-touchy, although there are elements of ritual involved that sanctify the spaces used and provide a feeling of security. But it still comes down to real men, with real problems - suicidal feelings, difficulties raising children, with work, with their partners - doing what they can to help each other out.
That makes a big difference.
IMO, most men's groups fill a much-needed hole in modern cultures - a bit of 'cave time', some open, honest emotional connections with other men, and support to get through the thornier and uglier of life's problems.