I am often asked to explain the reasoning behind my political views. Here are the basics.
I'm a socialist because I think if the workers owned the means of production, the world would both be more fair and have better outcomes for the majority of people. Every society that guards against theft defines some things to be just acquisition of property, and other things not to be.
Most people agree that pointing a gun at someone and asking for their wallet is theft, even if--once the gun is pointed at their head--they hand it over freely. I believe we would be better off if we decided certain contracts were also theft. Namely, I object to "freely" (on penalty of not having their basic needs met) entered contracts where one person gets a small amount of money for their labor--and the other person sells the product of that labor for much more money, generating profit in various forms.
I'm an anarchist because I recognize that authoritative structures have only the power we collectively and individually give them, and I hold the value of maximizing liberation. In my (arbitrary) system of values, the freedom that comes from access to quality education is valued enormously over the freedom that comes from the access to seventeen different toothpaste options. I think that I am more free if you have access to a good education, and have time to parent your children; you may not believe the same, or wish to prioritize my access to the same resources. Maybe you really love your toothpaste.
There are other kinds of freedom that fall between those two, and that's where a lot of anarchists and communists clash. Is the freedom not to starve more important than the freedom to choose what job you do? I believe this is exactly the sort of choice that was faced in the Soviet Union. A lot of the more patriotic American types will loudly protest that they'd prefer the option of choosing their livelihood. Ultimately, I think these sorts of conflicts have got to be resolved through communal negotiation.
I'm a republican because I recognize that there must be a negotiation of common values, and because I think this negotiation of values has a greater importance--and a more profound impact on individual lives--than the preservation of individual rights. I'm a republican because I'd prefer that this negotiation be as explicit as possible.
I believe that recognizing and prioritizing the negotiation of common values is the only way that common people can have a real say in it. Yes, the majority will fail to give just consideration to the interests of minorities. That is better than having a minority in power who fails to give just consideration to the interests of the majority--which is how we do things now.
The label these things add up to is Anarcho-Communist. It is not set in stone. If you'd like to convince me it's wrong, you have my blessing; if it can't hold up to argument, I shouldn't believe it.