This is part of why a sensible discussion cannot be had. "Shall not be infringed" has become axiomatic to many gun owners.
Disclaimer: I am a gun owner. I like guns very much.
Here's the 2A in full:
"A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed."
I am not a historian but I believe that this quote from James Madison in The Federalist Papers helps give some context to the second amendment:
"Besides the advantage of being armed, which the Americans possess over the people of almost every other nation, the existence of subordinate governments, to which the people are attached, and by which the militia officers are appointed, forms a barrier against the enterprises of ambition, more insurmountable than any which a simple government of any form can admit of."
The idea is that a federalist country needs a power equalizer between states who wish to self-govern, and a federal government that seeks to grow its power. The gun ownership is tied to the idea of a well-regulated state militia, which we have now called the National Guard-- which is a reserve force of the US Military because in the Civil War we basically decided that a federal system was kind of stupid.
All of this to say, the second amendment is not scripture from the hand of God. It is a law written with historical context from a different time, by men whose beliefs would disgust most people alive today. It's not Orwellian to discuss licenses or background checks, it's our modern society outgrowing laws from a bygone era.