Hi there, do will and would both sound right in the given context as an English speaker to you?
- Communism is an ideological and a socialpolitical movement. Its aim is to set up a communist society. This society would/will be based on the common ownership of the means of production and would lack social classes, money, and a state.
Neither "will" nor "would" sounds right. It would be better to combine the third sentence with the second:
- Communism is an ideological and a social-political movement. Its aim is to set up a communist society—a society based on . . . .
There are other problems with the passage. I'd rather not fix the whole thing.