It works on various levels. First Angel being the Buffyverse 'equivalent' of Edward. Second Angel and co are often referred to "Team-Angel" in Angel seasons 4 and 5. And third... Spoiler: Spoilers for Buffy Season 8 The big bad of Buffy Season 8, named 'Twilight', is revealed to be none other than Angel
Team Carlyle. He's the moral giant of the bunch. Formerly of Team Barnabas. another double post--it's out of my hands
Team Charlie. Seriously, Billy Burke's performance is the best thing about these movies. I was rolling in the aisle (figuratively) when he tried to have "the talk" with Bella in Eclipse.
I'm partial to the moniker "Fang Gang". I forgot about that. I should really get into the Buffy comics. I've read it's good stuff. Not the first time I've hear that. There is a lot of love for the 'Stace, too.
Tbh I've always hated that name. Mainly as until Spike in Season 5, Angel is the only one with any "fangs", so it doesn't even make sense. It's like calling the Scoobies the Slayer Gang or the Watcher Gang. Whereas "Team-Angel" is used multiple times on the show for them all. 'The Fang Gang' to me would be Angelus, Darla, Drusilla and Spike from 1880 - 1898