This is essentially violence over speech. I hope y'all aren't supporting that to its logical conclusion, or even beginning. You will end up with the opposite of a civil society.
I'd also advise you to avoid appealing to a majority standard of respect as well. It'd be too easy to point to historical examples of "respect" fails supported by the majority, like it being disrespectful for women to show their ankles (still is in some places). They probably were beaten for it too, and deserved it using logic shown here.
Respect is too arbitrarily determined and relative to individuals to use it as a justification to initiate violence. There are people who find it disrespectful for people to wear Dallas Cowboys apparel in public, is it alright for them to respond with violence? They are being disrespected...
BTW, if that was me getting farted on, as long as the farter didn't touch me, I'd either not care or outdo their fart. If it started to stink, I'd just move. A fart/offended ego is not worth the potential arrest record, fine, conviction, jail time, lawyer fees, and a lost civil suit for causing actual harm to another person, especially over something that caused no harm to me. That's just the obvious loss, not the loss of respect I'd have for myself for breaking principle. It literally pays to be civil.