It’s really pretty simple:
Common sense regulations do not INFRINGE on rights, they ensure responsibility. So, without taking anyone’s guns, how about…
1-Minimum age & required training
2-License and registration
3-Background checks on ALL purchases AND transfers
4-Liability insurance to operate a deadly weapon
That's what most countries in Europe have and it works.
You might also include a question that must be answered: "What do you propose doing with the weapon you wish to acquire?"
I have seen some videos on YouTube where Americans were shooting wild boar at night with night vision sights and were taking no care whatever to ensure that the animals that were their targets were killed cleanly; in fact you could see many were injured and often fitting or trying to crawl away. However much you may think these animals are vermin, they are nevertheless sentient creatures and if you are going to slaughter them it should be done in such a way as to ensure that they don't suffer.
