Antitheism

[Excited Penguin]

Religion - ]the belief in and worship of a superhuman controlling power, especially a personal God or gods.

I think "and worship of" is where the distinction can be made.  I can believe in my fart blowing God, and perhaps love him, without any form of ritualistic worship.  

Yes, but the worship coupled with the belief came first. Deism is relatively new in historical terms. It is by necessity religious in origin.