As for that wave, some on here tried to get it started a few years ago, but it doesn't seem to be catching on. Since we own 2 red Patriots I at least try to wave at others in Jeep Patriots. Doesn't seem to be catching on either.
I think people buy Wranglers and Patriots for different reasons. Wrangler buyers buy Jeeps for toys -- the urban cowboy types. Its a statement, an identity, and they notice others seeking that same shared identity. Patriot buyers buy Jeeps for a purpose, whether it be as a grocery-getter, commuter car, snow-car, or for work and cargo space. There isn't really an identity that goes with it.
When I drive the Wrangler, women usually wave back, but less often than men. I'm thinking women are less apt to initiate the wave. I wonder if its related to women fearing that men are coming on to them. In a passing vehicle? Just a guess.