Why are you seeing long 2v2 queue times? Because Blizzard doesn't want to fork out the cash for more computers to handle more games at once.... GG BLIZZARD!

There's a limitation on how many games can run at the same time, and while we're always looking to expand and improve our infrastructure to 'give some extra slack' to those types of restrictions, there are no current plans to see an increased amount of games running.

We recommend playing in the larger team sizes, or outside of the peak play times. 2v2 teams are obviously the most abundant, and if you just go up one team size to 3v3 or play before or after the peak ~5PM-9PM, you should have an easier time.