An anarchist can identify as a libertarian if he/she supports the free market (and then there's anarcho-capitalists) - This isn't about me agreeing or not - Liberalism is pro-capitalism and socialism is anti-capitalist, so identifying as a liberal and a socialist is as coherent as identifying as a non-racist neo-nazi.
Whoever fights monsters should see to it that in the process he does not become a monster. And if you gaze long enough into an abyss, the abyss will gaze back into you