I don't believe that's a Mopar wheel, it's an aftermarket piece. I think all the Mopar wheels are plastic instead of wood like yours.
I've redone a couple of plastic wheels but never a wood one. I have however redone wood furniture a lot, does that count? I'd give it a light sanding with 220 paper maybe first to get the existing finish off. You want the stain to penetrate into the wood. Get some stain from Home Depot or wherever. Minwax brand or Circa 1850, etc. After your done staining it a coating of sprayed on laquer would be good. You need something that will not soften in the heat or sunshine which is the main problem with a brushed on finish. Mohawk brand laquer would be good, a satin finish will shine a bit but won't be slippery.
Hope that helps.