The statement that best compares the outcomes sought by capitalists and communists is:
"Capitalists believed that the state should only protect private property. Communists wanted the abolition of the state in favor of a classless society."
This accurately captures the fundamental differences in the goals of capitalism, which focuses on the protection of private property and individual rights, and communism, which aims for a classless society and often views the state as a means to achieve that end.