It would not have made a bit of difference, imo. It didn’t take long to fetishize arms in the US, even Madison’s take holds up US having guns as hawt AF.
As Spracne pointed out, there have hardly even been occasions to test the constitutional limits of the Second Amendment. Most of the state and federal laws on guns go the opposite way to expand ownership rights and protections. Other than the DC handgun ban and maybe a couple of others it’s arguable IMHO whether the landscape would look significantly different if the Second Amendment never existed.