A very solid proof of concept! I'm guessing this was built in Construct? I love it, it'd be nice to see this become a fully fleshed out game... I may have to rip this concept for myself.
Honestly, I wasn't fully on board with the "Incompatible Genres" theme, because the idea of "Incompatible Genres" doesn't hold water in most cases. "Incompatible" isn't the same as "Uncommon", but it did give us a chance to experiment with ideas like this, which actually makes something great of merging together two genres that may not have ever been combined.
Thinking on a larger scale, the concept of a Brick Breaking Platformer could even merge in different genres like Pinball, SHMUP's and all kinds of things. Personally, I'd like to play around more with this little subgenre you've built here.