It almost fills me with a sort of indignation. Like "How dare you worship while you don't know or what you don't know or while in doubt?". I like anything that keeps people from crimes, indecency, intoxicants or drug use, so there are pragmatic societal benefits to taming populations morally and legally via their religious obligations, pressures, or even certain beneficial superstitions, but I don't think a person who worships God without acknowledging the present and apparent acts and works of God is the same as one who does, or takes the same out of the practice.
I think this problem disappears once you have a better understanding of the Quranic expectations on Muslims and Mumins.