You have Zero right to tell a person what they can or cannot carry in their car so long as that item, whatever it is, is a lawful product.
You don't want someone parking their car in your lot, that's fine. But YOUR rights end at my bumper bud.
Case law would seem to hold otherwize..
I wish I was wrong, but I'm not, pal, at least not under Federal law. I don't know whether your state law protects the right of law abiding citizens to carry a weapon in the private workplace, but I am absolutely certain that neither the Constitution nor federal statute offer such protection.