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I don't think there would be as many American Militia groups, or rather they won't be as well equipped. With actual liberals in power in the US gun reforms are likely, now one of the oft quoted reasons for letting people own guns is 'self-defense', now that argument can apply to pistols, which you can carry with you at all times, but doesn't hold much water with rifles, especially military/assault weapons. More to the point, as far as I know, Texas is about the only state where you can get away with using a gun in self-defense (It has specific laws allowing you to use firearms on people who attack you).

Net result of this is that while you can get guns in the US, they're probably in the smaller calibers (like .22, which the military stopped using because it doesn't do enough damage) and either pistols aggressively marketed as 'self-defense' or hunting weapons