The Novistadores can not cloak and fly at the same time, but in the Dance hall, if you look closely, you'll spot one flying while invisible. It appears only once, and it will disappear the next time you play the level.
The Novistador nest located in the Dance hall can be destroyed. When it has been destroyed, a short cutscene will play and a large number of Red, Blue, or Green Eyes will fall, along with two Novistadores that die on impact with the floor. Destroying the nest requires a decent amount of ammo.