Similar issue here, I can get into the queue and ‘entering the game’ but it then switches to ‘connecting’ and either puts me back in a queue or prompts me to login again. I’ve tried every fix known to mankind without success.
This is frankly appalling to be locked out from the game completely and I’m very frustrated that my friends have been able to play just fine whilst I can’t even login. If you’re reading this and have discovered a fix I’d be very grateful for your input but in the meantime I hope Blizzard fix this ASAP. Surely this should be top priority.