Gun control has "turned out that way" for virtually every modern society, irrespective of the general theoretical political or economic framework it tends to operate within. Eventually, the United States will get around to it. Note that the fairly strict gun control regimes in CA and NY have not been ruled to be unconstitutional. The 2nd Amendment has certainly stalled things quite a bit, but ultimately it will be rendered toothless.
The reason is pretty simple, politically. A firearm gives you--personally, individually--power. It can be the power to do good or to do evil, but ultimately the state apparatus wants that power. And this, again, is irrespective of capitalism vs. socialism or democracy vs. authoritarianism. Capitalists will do it to protect themselves from the masses. Socialists will do it to protect the masses from each other. Democracies will do it to protect themselves from each other. Authoritarians will do it to protect themselves from the masses.
Using gun control as a plank in your anti-communist or pro-capitalist or anti-authoritarian platform is silly.