My first game Jam game was also in the same boat, but almost in the opposite direction where I tried to tie too many things to the theme and it just wasn't fun to play.
I still submitted though, because the feedback I got, even though I knew it wasn't going to be great, helped narrow down the "why" so I learned a lot from it.
Don't expect your first game jam to be amazing. As long as you learned something, you succeeded. Even if that something was what doesn't work or that you over scoped.