This is a really awesome take on the game and it looks amazing! I considered using this game for my day 6... and there's no way I could have come up with something this good xD
I like the additions you made like shooting the flying saucers too, gives it an extra mechanic that makes it really nice.
If you choose to continue the game (I saw the comment chain further down), it would be cool to reorganise the original "aim" of the level so it better fits your matchmaking theme -- like make it so you have to connect all the planets, or connect in pairs, rather than just find a way to get them in the circle (which is a great mechanic for the general puzzle game, but doesn't always fit the matchmaking theme 100% like when there's only one planet -- e.g. you could turn the static circle/black hole/galaxy thing into another type of planet, but make it look different and have the same static properties). But honestly that's just one little thought which you can ignore if you like!! Just wanted to put that thought across in case it's useful!
Honestly, great work!