So I'm not going crazy, and it's actually broken. Thank god. Thanks for the 6.0 tip too! I use Skype to talk to colleagues a lot, so it being broken on my main computer was a real headache. Besides that Mavericks seems to be a nice improvement.
6.3.0.582 also seems to be working for me, you can fetch it at
http://www.oldapps.com/mac/skype.php?old_skype=11978
I only wish Skype was working correctly on iOS 7 beta 1. I'm using it on my iPhone and besides the odd glitch I'm loving it. Tried all the suggestions I've seen as far as logging in/out and reinstalling goes, no success at all.
Anyways, thanks! Haha I'm really happy I have Skype working again!