I'm also building a Tron/DOT, but I'm reproducing a Mad Planets cab which also has those controls. You gotta bite the bullet and get Groovy Game Gear's Turbo Twist https://groovygamegear.com/webstore/index.php?main_page=product_info&cPath=86&products_id=311 It comes with an interface board. Its the only push/pull solution out there. I have a spinner, and I was going to mod it to push-pull, but tick-tock.
Then you have to bite an even bigger bullet and get this: https://na.suzohapp.com/products/accessories/50-9975-02 you can use any ol encoder for that.
I have all the parts, I just need to assemble it. Haven't had time. I should put the control panel together first then I could share it with you.
cheers
ws