Political philosophy student here:
Keep in mind that there are many flavours of anarchism, too. Look it up on Wikipedia if you don't know about many of the different one.
I have to agree with contract theorists that an anarchistic society would eventually turn into a state (Robert Nozick argues this extensively in his book
Anarchy, State, and Utopia). His "Minarchism"--basically, an ultra-libertarian nightwatchman state government--is feasible, and the closest we could come to anarchy.
Of course, the overarching question is whether or not we'd be better off. I used to veer strongly in the other direction, toward a more powerful state, but as time goes on and I reflect more (funny enough, I've become a bit more conservative, though still on the liberal end of the spectrum
), the allure of a less interfering state becomes more attractive.