A very unique game unlike anything i have seen this jam.
Presentation: The game looks really nice and i think the art style is very cool. I really like the use of symbols to identify voters and i think the voters themselves look really cool. I do wish there was some music but given the time constraint that may not have been an option and in that case it was a good use of time to add the voter click sound effect. I do think some other sound effects would have helped as well. As a general rule without sound effects button actions tend to feel floaty and unresponsive. Additionally, having a black ui element like the lock indicator on a dark background makes it rather hard to see and you may want to consider making the lock white.
Regarding Gameplay/game mechanics:
I think the game itself is a really cool concept and after a few tries i started to understand how to play and I was able to start really pulling in the voters. I've mentioned this in other reviews but good game design as I am told is often about providing the user with interesting choices, you definitely provided interesting choices with whether or not to hold on to specific die or to roll others to match a voter pattern and I think it worked pretty well, so good work. The use of a timer also created a fun race against the clock feel that I think worked well. My only pieces of feedback regarding the gameplay are that it would make the game feel better if there was more punch to rolling the dice, and a tutorial is likely needed as I felt there were concepts i was not fully grasping despite for the first few runs.
All in all, thanks for making something rather unique this jam, and thanks for sharing it. Good job!