I've often wondered about "carnivore" breath. I imagine that cup of 7-11 coffee on the way can kind of smell strong, too. I do usually brush with baking soda and water before hunting but I do that frequently when it's not hunting season too.
There is absolutely no chance of me going veg for hunting season, or giving up my morning coffee, so I quit worrying about it. I usually take some trail mix or cashews or peanuts when hunting but I've been known to have some deer or beef jerky in my pack, sealed up, of course. I've never been one to take a thermos in the woods, but I will take a Mountain Dew in a plastic bottle.
Face it, you are human, to animals you stink. Most Americans are meat eaters. I understand that to people from more vegetarian cultures, we really stink. I hunt to have fun. If I had to give up meat and coffee to get a deer, that would really lower the fun factor. I try to take reasonable precautions, but I decided long ago to worry more about how I hunt than how I smell. I don't care what you eat, how you dress, what you wash your clothes in, what you bought at walmart, or what kind of high tech underwear you spent $130 on, if a deer gets directly downwind from you, up close, you're busted. None of the above hurt, though, and I've tried it all. I draw the line at going veg, though. I'd rather wear skunk scent.