I'm a cluster of matter; am I a galaxy?
You are redefining the word galaxy, so it loses all connection with what is called a galaxy in mainstream astronomy. You apparently don't know how words works.
Not at the moment. A galaxy has a certain type of order (the orbits of the stars line up in a certain way), and the Bullet Cluster doesn't have that. The Bullet Cluster is a pair of galaxies mid/post-collision. It even stated that explicitly in the Wikipedia-link that was posted.
Again, if you call that a "special galaxy", you are redefining words so that they don't correspond with their mainstream usage anymore. You are no longer talking about galaxies.
"Confusing communications through misleading definitions" is trouble.
Yes, because it is one. It's even in its name!
Does your redefinition of galaxy demand luminous matter? So a lightbulb would be a galaxy?