Honestly, I'm not totally sure how to answer the first part of your question. I'll need some time to think about it. I'm leaning towards being Mormon and the LDS institution being very closely related (i.e, it would be difficult to be much of a Mormon without being part of the LDS church), but I need a little more time.
I could see a scenario where I would leave the church. In fact, a few months after I came home from my mission, I was VERY close to leaving the church. My father committed suicide while I was on a mission, and I felt like many members of the church, including some with the actual Salt Lake group, were...less than supportive. I came back feeling pretty jaded, and it took me a long time to get over it.
Also, you know, I was pissed at God. I go off thinking I'm doing the right thing, and I lose my scholarship, my girlfriend (to my roommate!!!! lame!), and came pretty close to losing my mother. I felt like God didn't uphold his end of the deal.
I think I could possibly leave for a temporary time if I came under extreme emotional duress again, or if the LDS leadership did something absolutely effing crazy...neither of which i think are very likely