Correct. I would add that God considers man a free moral agent. Man is free to make his own choices, even to the point of accepting Him as his god or rejecting him. I think the most fundamental difference in Christianity and Socialism/Marxism is that Christianity emphasizes man as a free moral agent; the latter seeks to severely limit man's freedom. Islam restricts freedom as well.
Because it is a capital crime to repudiate Islam, and because a person born to Muslim parents is considered to automatically be Muslim, Islam is a system of slavery to ‘allah’.