I get smudges on mine all of the time and I just wipe them off using the cloth I got with my case every 2 or 3 days, easily done...
So do u really sit down with your iPad and operate it with latex gloves on???.
The OP seems to convey that he just uses one index finger with a glove (cut out just for the index finger).
I personally don't have a huge smudge issue. I wipe the screen every few days or so. Sometimes even longer. I think a bigger issue for me is if I've just had a snack or something to make sure I've rinsed my hands enough! Don't want cruddy residue, so in those cases, that's where I am more aware. Smudges from the oil of fingers are another matter and not as concerning to me.
I bought a apple iPad case last week and it came with a micro fiber cloth. With it, the iPad is shiny and smudge free in a few swipes. Everybody should know when buying any product that has a touchscreen interface smudges and fingerprints are gonna be unavoidable. It shouldn't be big deal.
Too bad this isn't my doctor!