"Tony Yazbeck just got his caricature - is it wishful thinking on my part, or is this one actually not too bad? (Sorry, I can't seem to insert a picture, so I'll give the link.)"
It is better but still bad. The proportions are off and his eyes are positioned weirdly. I see Max von Essen + Brian d'Arcy James.
I think Kelli's might be based on her headshot. I feel like I've seen that pose before. It's truly awful though if he drew it based on a still photo and it's still that inaccurate.
Now most of these performers are gorgeous. I wouldn't even call them "character" actors in a slightly disparaging way. But instead of playing up what makes them unique, these caricatures flatten them out into generic looking vaguely attractive people. Honestly, walk a few blocks out from Sardi's and the caricaturists in Times Square could probably do a better job.