Personally....I find that spirit gum (instead of eyelash glue) helps keep the bindi on & primer + creme makeup helps keep the makeup on. Are you currently using any of those items?

lol i am so stealing "hot tranny mess" & making it my new fav phrase! i sweat quite a bit during performances myself. i use surgical adhesive (you can find it at drug stores) and it helps a LOT for keeping that little bugger on. Sadly not much to be done about the actual sweat though if you have breaks between numbers just bring a towel to pat off with. to set my make up i sometimes spray my hair spray over my face (keep your eyes shut & keep 'em shut & let it dry for a min or two) & that does help. honestly people in the audience probably aren't close enough to tell anyways.