Yeah, but I think that's kind of an unfair (or at least inaccurate) definition of anarchism. I mean, I define anarchism (or anarcho-Christianity) as an advocacy of freedom, no matter what. But even if you have a different view of anarchism, it would at least lean towards freedom--potential for both good and great evil.
And I think I spoke too soon because I do have some problems with capitalism, which I define as market-economies (although my definition may need some revision), like how in order to expand you have to be selfish/greedy, etc etc. But as for the private property side of it, how could an anarchist not want that? Because of currency/private property, material things are easily quantifiable and distributed. And there is the greatest potential for good and evil when the means are clear and more focus can be put on the ends.
But yes, I think what you said rings true. The misguided acts and opinions of previous so-called anarchists has given society a stereotype to perpetuate, and we know how that all too often goes....