Not, yet, but there will be. Brotherwise is commuting to Open Gaming and releasing an SRD, they are working on the generic core rules now, with a time line in place:
The game as it exists now is balanced well for one character being a Knight Radiant (a pretty strong equivalent to a Jedi) and...
Ghetto, no, but given the legal agreementa in place for publishing there, this is an interesting development for OneBookshelf and WotC working with creators.
Brotherwise Games haven't exactly made it a secret that one of the Plotweaver Settings they are working on is Star Wars with the serial numbers filed off...and I think it will be a good fit.
I think you are quite right, which is why I think the Cosmere/Plotweaver system is a solid fit. Also solves the Jedi/Protocol Droid power gap elegantly.
Not that unusual: with a modern standardized controller, a game has access to some 14 buttons and two analog sticks. Enough to provide robust inputs, but not enough to allow for "mission creep" like a keyboard.
Modephius and their 2d20 suggest they could pull it off.
However, I'm going to go with Brotherwise Games and theor Plotweaver system...which given the FFG personnel and DNA there, would sort of be like the Genesys system version and the old d20 WotC edition having a baby.