About 60% of my lifts are olympic movements.
Snatches
Hight Pulls
Snatch to Snatch squats
Clean to front squats
Push Presses
Push Jerks
Hang Cleans
Hang Snatch
Snatch Lunges
And Bench, Squat, and Deads.
That is all that I do.
As for determining whether or not you have the disposition to be a good competitive olympic lifter ask yourself the following.
1. Are you short statured
2. Are you generally explosive (I.E. vert jump)
3. Do you have really good balance
4. Are you coordinated (pretty good athlete)
Muscle density is also huge, the guys who are seriously competitive look like little trolls made out of bricks. IMO, it is a very genetically driven sport. About as much as sprinting. I think that powerlifting isn't quite as dependant on genetics.
As for O-lifts being tough on your joints. There are a bunch of studies that show both sides of the argument. One thing is clear though, an O-lift done incorrectly will fuck you up ten times quicker than a concentric lift done incorrectly. I think that this is where most of the reputation that O-lifts are tough on your body comes from. You can get away with improper squat form without an injury for quite some time, whereas one snatch done incorrectly will probably leave you without rotator cuffs. You really need a coach to work with you on these lifts before your teqnique is solid enough to go balls out.
As for that "vague" definition of strength. That's really what O-lifting in all about. Some bulgarian lifters have been able to C+J as much as they can Squat, and snatch twice what they can Bench. I've learned to love being "sports strong" more than "weight room" strong.
I love O-lifts and will probably never stop doing them. Gets your heartrate up in a hurry too, so it's really good for fat burning.
Shoot me an E-mail and I'll forward you a copy of my program if your intrested. I'll tweak it a little so it's specifically for O-lifting (you won't have to do all the sports specific bullshit that I do...lucky you)
There are few things more satisfying than the sound of dropped olympic plates right after you set a new PR.
Good luck Bro.