It was blamed on conservatives, White Southerners, and gun nuts. Oddly enough, it still is to some degree.
Actually, Lee Harvey Oswald technically was a White Southerner but with a world view exactly the opposite of most.
Yes, you are right,
The gun control madness began immediately.
Who back then gave a second thought to ordering guns by mail? But because Oswald got a gun by mail order, well no American would ever be permitted to do that again! Works every time something bad happens, it seems.
BJ, et al. tried to connect talk radio to the OKC bombing and other bad things. They're still trying to stop conservative opinion with lies.