chiming in since I have the same setup with the bars unwrapped
too much padding with gloves actually makes handlebars uncomfortable much more quickly for me due to overpadding. I like wearing gloves JUST incase I eat **** too, so it works well for some setups. maybe i'll get some uber thin tape like the fizik stuff eventually but all I have lying around is cork tape, which I'm probably just going to put on the ends to help prevent them swinging back into the frame + better grip when I'm spread out