I don't know if a men's teaching club would be accepted, but I can tell you I've been told by a female school teacher looking for work that it's much easier to get hired as a male because high school administrators are desperate for more male role models to help struggling male students given the lack of male staff in high schools.
It's easier to get hired as a male teacher because university and teaching school grads demographically skew female. There is less supply of male teachers ultimately which causes the high demand for male teachers is what I've heard.
