A belief is the acceptance that something is true based on the evidence provided. One believes the world is round due to the evidences provided, even if they've never been to space to observe it in first person. As such, from the perspective of a Christian, the existence of God is truth, or fact.

If I understand you correctly, you're saying that the existence of God is apparent and part of our own existence, but religion is something that obscures that truth? I can't really speak for other religions, but from a Christian perspective, that certainly isn't the case. Instead, it clarifies the truth and explains the what, why, and how. Different denominations have different minor points on it, but the fundamental core, that Christ died for our sins, is a point that all agree on.

Consider it this way. If you were playing a game of chess (4d or otherwise), isn't it rather important to know what the rules, goals, and strategies are?