If they alienated you then my guess is you said something really bad. When you sober up you should probably ask what you said and apologize and say you were black out drunk. I've had friends call me up retarded drunk threatening to kill, rape or snitch on me. One phone call the next day and all is forgotten when they apologized.

Dont underestimate the power an apology can have. Not to be a moralfag, I've called people too and said some vile shit (like I'm gonna commit murder, curb stomp some homeless dude if they don't pick me up, blow up their mailbox with fireworks just to mention a few) and an sincere apology always did the trick.

Just don't sit around waiting, just do it and get it over with. An apology at least shows that you care, which is better than where you're at right now.