[Diydiva81]

I don't know if this is going to help but I wiktionaried (god, is that a word? lol) some of the above "isms" just for simplicity sake.

Anarchism
1. The belief that proposes the absence and abolition of government in all forms.
2. Specifically, a political and philosophical belief that all forms of involuntary rule or government are undesirable or unnecessary, and that society could function without a ruler or involuntary government (a state).

Communism
1. The ideology of political parties that use the term Communist in their names, usually Marxist and Leninist.
2. The socio-economic system based on such parties' ideologies.
3. (US, informal) A state of affairs perceived as oppressive, overly arbitrary, or totalitarian.

Socialism
1. Any of various political philosophies that support social and economic equality, collective decision-making and public control of productive capital and natural resources, as advocated by socialists.
2. The socialist political philosophies as a group, including Marxism, libertarian socialism, democratic socialism, and social democracy.
3. (Leninism) The intermediate phase of social development between capitalism and full communism. This is a strategy whereby the State has control of all key resource-producing industries and manages most aspects of the market, in contrast to laissez faire capitalism.
4. (Classical Marxism) The international communist society where classes and the state no longer exist.

Fundamentalism
1. (religion) The tendency to reduce a religion to its most fundamental tenets, based on strict interpretation of core texts.
2. (finance) The belief that fundamental financial quantities are the best predictor of the price of an instrument.
3. The beliefs held by those in this movement.
4. Strict adherence to any set of basic ideas or principles.