The meme comes from CSI: Miami, not Miami Vice. Personally, I don't watch CSI: Miami myself, it's just fun remixing it for this occasion. It's a meme dude, and the thing with memes are, they were meant to be reproduced again and again.
It's wonderful when they reward fans who pay attention. And the fact that the show assumes it's viewers to be intelligent people means they can pile on the laughs while imbuing it's characters with humanity and growth. They remind me of Pixar movies.
Absolutely. Pixar has plenty of nods to previous projects in their movies that aren't in your face references but if you really want to find new nuggets of easter eggs on repeated views--they're certainly there. I like how a lot of the extra voices in AT are comedians--some of my favorite stand ups work on that show like Maria Bamford. I love that woman so hard!
And it's also excellent that the staff are indie artists or involved in the indie scene (Especially the comics). They're not some corporate hacks that adhere to the lowest common denominator. They actually stretch what is ever acceptable in television. The last show I can remember that was as brave as AT was Batman: The animated series from the 90s, lol!