Hopefully a magazine amendment can be added.
Hopefully it'll pass the House.
"Do you think criminals will obey the law?" No strawman there. Do you think murderers will obey laws against murder? No? Let's just repeal all laws against murder, then. Let's repeal all laws against terrorism, theft, rape, etc.
Anything that makes it harder for someone who shouldn't have a gun to have a gun will make us safer. People, even criminals, often commit crimes because of opportunity. The higher the costs associated, the less likely they'll do it. The easier it is, the more likely. Hence, laws that make it harder for irresponsible people to get weapons will deter some of them from getting them, yes.