My vote would be for Cirque. I haven't seen any cirque shows but I know that one is unique for Disney, it doesn't travel and you can't see it anywhere else. I went to the Blue Man Group show at Universal, then again when they came to my hometown. While it was amazing both times it was the same show. I had a friend go to the same show in my hometown, didn't know he was there until afterwards, but he also said it was the same as the permanent show he saw in Vegas. Just going by that, I would say you can see that same Blue Man Show just about anywhere. I'm not trying to take away from it, it is amazing and I would see it again. I'm just saying that the Cirque show in DTD is unique and you won't see that specific show anywhere else. That's why I would vote for Cirque. You really can't go wrong with either.
You did say you have the time to do both. I would say if you can afford it, go for it and see both. You'll be amazed by each of them.