Contrary to their own opinions Greek Life does not dominate any university. They are - by their own ethos - apart from, not a part of. And because they are are exclusionary, isolating, and elitist they violate the mission, meaning, and purpose of Higher Education in America and not a part of what's really going on. The fact that they often think that 'dominance' thing is just part of how they are perhaps one of the best real world examples of The Emperor's New Clothes, all strutting about thinking your everything and a slice of cheese when, in fact, everyone else thinks your a dolt.
So they don't dominate the university, but they do dominate your life, and the lives of the other members, filling just about every free second with Greek Life and Greek Activities. It becomes the alpha-omega of all your time.
They have been very positive experiences for some, but those people are a thin minority and not the majority of Greeks.
But, I don't want you to let my observations discourage you, you should check it out, perhaps it's just what you need. It does help a few people after all, you might be one of them. College after all is about finding out what does, and what does not work as part of your life.
I also just feel that being a part of a brotherhood is something I would really enjoy being a part of because it makes me feel more male just knowing I'm accepted by all of these other guys.
I'm down with that, in fact I'd say that those things in my life that would constitute being a part of brotherhood of men being men (though often including women, but you get the idea) are among the best things in my life. However, in the real world such things are earned, not merely bought. Things like being a Navy SEAL, or Phi Beta Kappa/Phi Kappa Phi, or a member of the Royal Shakespeare Company are not the same as being TKE. Frats are a manufactured brotherhood, not a real one.