then after shooting Columbo was shot dead, yet not a single FBI or Detective there saw who did it!! Yeah, sure. Columbo's own son even said it was not the Mafia before he passed away.
I think probably the cops and/or FBI shot Johnson, and letting the Mob take credit for it was easier than investigating themselves. As to whether they put Johnson up to the job, that's more difficult to know. But it's certainly possible.