I have a 2 and a 5 year old - and at 2 years, sometimes you have to resign yourself to feeding them what they'll eat!
I remember hearing a conversation among about 5 mothers laughing about trying to take the kids out to eat. None of them would actually order anything for themselves, but would rather look at the menu in the light of "What can I order them that if they won't eat it, that I might like?"
I'm not so sure I'd be worried about cholesterol with a 2 year old as much as any food allergies. BUT I do understand his point. My kids LOVE chicken nuggets, PB&J's, mac-n-cheese, fruits, yogurt, spaghettio's, hot dogs, cheese, etc. Sometimes they'll venture to taste something we made for the "adults" (grilled chicken or something), but we usually (right now anyway) just try to give them things to eat that are reasonably healthy.
If he doesn't like grilled chicken, see if he'll eat baked chicken. Our kids ate smoked chicken (from a bbq place, without the sauce of course) and loved it. They'll eat turkey too.
I've heard with kids that age that you have to try serving them something about 5-7 times before they'll actually try it and/or decide whether or not they like something. So keep tryng the other things, but be prepared just in case.
For what it's worth, and good luck!