While I do not agree with the above reasoning, I do agree that it probably isn't a strong topic. For the most part, the perception of Greek life isn't of a serious and mature student body. Maybe you can focus on some sort of involvement that was important and meaningful while keeping your house in the background.
I was in a Sorority in college, and have found while working in the big kid world that many people had to get over their negative views in order to take me seriously. It didn't help that I look like the sorority stereotype...
Eh, I expected to experience what you describe but actually have found common ground because of my sorority involvement.
That said, I wouldn't center your PS around it. Involvement in Greek life (when actually
done correctly) builds excellent leadership skills and truly helps you develop as a person. However, no matter how involved you are, it should not define you. Your personal statement is your opportunity to show adcomms who you are. So, if certain experiences within your organization help you show instead of merely tell how awesome you are, include them along with your other experiences. Ultimately, though, your PS should be about you
, not your organization.(Edited to remove superfluous information)