No, I am afraid that is very incorrect. An "anarchist" is someone who refuses to submit all lawful authority, and seeks to become a law unto himself. Such people are tyrants in the making. And they are always wrong. They are ultimately accountable to God.
If the government orders the principal of a public high school not to allow a prayer before a football game, and he does so anyway, is he an anarchist? If you give a child a home-made sore throat remedy that includes whiskey, are you an anarchist?
The truth is that we are all anarchists, each with his own cost-benefit criteria for determining whether we will obey a governmental decree.