It is important to note that cars have great utility.  Just about everyone relies on their existence and function, every day.  Our economy depends on transport.  Guns?  Not so much.  Most Americans in 2016 go their entire lives without ever needing a gun.  They have very, very low utility.  To compare auto deaths to gun deaths is invalid for these reasons.

I think a hefty tax on gun purchases and ammo would be a fine way to pay for this program that is the direct result of folks who have chosen to own a gun.