Cleans "stimulate" a lot of muscles from the calves to the traps and plenty inbetween. That's why they're awesome and useful.
"Mind-muscle connection" isn't really the right term when it comes to exercises like cleans because that generally refers to feeling/identifying certain muscles working for a certain time under tension.
In a clean, for sure the quads are activated, but it's for such short time during such a large exercise that over-focusing on quad tension will almost definitely lead to technique issues and poor performance. And I'm not one to say you need competitive-level form on the O-lifts, but you do need to pay attention to what's going on. It really is a "movement, not muscles" type of lift.
My opinion is that I'd really like to know what your current training week looks like. You've had some peculiar and specific questions lately and I can't quite figure out how you train. You military press every day, don't believe in lateral raises, and don't bench. I think you could get some better overall input if we knew what you were doing now. What's your training routine? The days, exercises, sets, and reps.