I think that we need to resist the temptation to make every good idea a law. (I agree with you on the problem - my dog is always restrained when she rides in the back of my truck - but I disagree with your solution.)
Unfortunately, it's this "let the government fix it" thinking that steadily got us to the point that we have two POS candidates heading up the tickets for the two major parties. Both of them will latch on to big government solutions for every problem.
Sorry, don’t see the connection in this circumstance. I don’t see this as any different from requiring seatbelts.