My Dad uses the joke, “Whattya mean ‘we’ white man?” which definitely means it was well-known before 1960.
Another Tonto-Lone Ranger, joke. . .
The duo is riding across the plains. Tonto dismounts and puts his ear to the ground. He stands up and proclaims, “Buffalo come.”
Lone Ranger says, “how do you know?”
Tonto replies, “Ear sticky.”
[url=http://www.top40db.net/nfLyrics.asp?SongID=74348&ByWhat=Artist&Match=Oscar+Brown+Jr.]The lyrics to Oscar Brown Jr.'s “The Lone Ranger” (1974).
I thought the punchline was:
“What’s this ‘we’ shit, paleface?”
Are you quoting a cartoon from decades ago? I saw that in the seventies, and practically pissed my pants I was laughing so hard.
“And give me that horse, too.”
Is Igor gay? 
Actually, it’s from a Lenny Bruce skit, though they did take part of that skit (“fun with real audio”) and created some animation for it. It did a run on the Spike & Mike touring Animation festival for a few years.