It's not a leap because you can extrapolate from the fact that a large number of handguns were already banned in the 1990s and there was no effect. There's been a large increase in the number of handguns owned by Canadians since 2000 and there's been no similar increase in the rate of homicides. Also, Australia adopted quite similar legislation that you're proposing, with complete handgun bans. These also demonstrated no effect in terms of homicide reduction. I think we can extrapolate from this that you're probably not going to see much benefit, if any benefit at all, from your legislation.
It's quite expensive legislation. You might want to consider some other methods that have been proven to have better effects, especially, as I said before, on youth deterrence.