This is just a list of a few shows that I think the "stereotypical" alpha male could enjoy.
Avenue Q - songs like "The Internet is for Porn" make the show appealing to some men. And a lot of people grew up on Sesame Street and do, kinda, have a soft spot for it. So seeing a sending up of it can be very entertaining.
Rock of Ages - as was stated before it's very popular with men. The whole "rock concert" atmosphere and the classic 80's songs are a big hook.
Toxic Avenger - off-Broadway show that just opened seems to be hitting a home run already. If your guy likes cheesy films then he'll, probably, be right at home at this show.
Hair - nudity
Chicago - gorgeous women in skimpy costumes
Jersey Boys - you have a show that's about guys and you have the mob involved. Odds are he knows some of the songs already. Think of it as the Godfather: The Musical with no one getting gunned down at tollbooths.
"All our dreams can come true -- if we have the courage to pursue them." -- Walt Disney
We must have different Gods. My God said "do to others what you would have them do to you". Your God seems to have said "My Way or the Highway".