Much of the tension in this situation could be reduced if people were more discrete. I can't stand to hear non-rev people bragging about flying in F or BE. Most of the time if they didn't tell us, we wouldn't know!
Allowing that most of the non-rev people are tickled to be on a flight in a higher class of service, perhaps some enjoy bragging--but cut it out!
Get on the plane and fly! Problem solved!
I don't brag to my seat mates how much I paid for my ticket. Don't tell me that you are a non-rev.