In a different era, about 25 years ago, I was a leader in a "men's" ministry. It was established upon the idea that the Church must be led by committed men first.
We centered around a Saturday prayer meeting. We avoided small talk, and hit the knees, for intercession . We could not pray for our needs, but for the lost and needy, whoever.
There were five of us in the beginning. Only after praying, did we fellowship, and eat; spending the morning together.
We also met once in the week, and of course on Sundays. We prayed a lot, and inwardly committed ourselves to see God move and minister to the helpless.
Eventually, revival came, right out of that small meeting, and a church of 250 arose, and was blessed of God. Our spirit kind of seeped into all, and many, many drunkards, addicts, and general red neck heathens were saved.
Kingdom building and agendas will kill God's purposes. If you are meeting to enhance the church numbers, are to be known as a more spiritual church, I would quit now, before you are disappointed later. If you are meeting to be more spiritually prosperous among yourselves, only, ditto. As men, you must capture His heart, and spur one another along the Path of absolute surrender.
This is the only men's group acceptable in the Eyes of the Lord Jesus. Beware of man's controls, or any motives such as the enhancement of your selves, to have a more comfortable life, with more friends to enjoy life with. [camping trips, golfing and sports trips, game night, family night and of course food! and more food!] This is often what these groups degenerate into. What I am saying is; Do not let it become a club. If you do, base it on the Moravian one....[and contest who it will be who is privileged with first martyrdom.]
Make it a all for Jesus discipling meeting with Jesus as your sole Lord. You won't regret it.