After reviewing you lists and with the knowledge of only of few of the races here are my suggestions and opinions. Please dont feel like you "must" take my suggestions as you may know some of the races better then me.
-TEC -1 or-2: They sent the Advent into exile.
-I would suggest the most if not all of the +1’s and +2’s be moved to -1 or 0 column and move some -1’s to the +1’s or +2’s. This is because The Advent have a lot of Socially and morally unacceptable behavior that most cultures would condone. So some of the -1’s don’t have a lot of morality are the ones I would move to +1 or +2. And make the necessary corrections to the races that they like so it is a mutual relationship.
-If I remember right this is from SG-1 and they don’t really harbor any dislike to many races. I would suggest that a lot of the Races be moved to a “0” Status and leave some like the “Borg or Cylon” in the -1 and -2’s. Races like the Borg and Cylon tend to be “evil” and the Ancients would frown on this behavior.
-Same as ancients.
-Vasari +1 or +2: Klingon, like the Vasari are a warring civilization and thus already have a commonality. I can see a Vasari and Klingon sharing battle stories over a good beer.
-Advent 0 or +1: I can imagine the Romulan’s would appreciate some of the testing and research and morally questionable things that the Advent do.
-Romulan -1: Star Fleet has created a special Neutral Zone with the Romulans because when ever their together there is some sort of conflict. Not -2 because Star Fleet is always open to better there relations.
-Klingon +1 or +2: See Klingon
PS Pretty please add the Homeworld 2 races :'(