Is 'The Adjustment Bureau' religious?

If you've seen the film, the answer seems like a resounding yes. It's about a secret group of beings who intervene in the fate of mankind whenever we all are about to become too self-destructive. These beings do so at the behest of an unseen, undescribed higher-up dubbed The Chairman.

That seems a blatant allegory for God, angels and the importance of free will, no? It certainly doesn't hurt that at one point in the film Matt Damon's character asks Anthony Mackie's point blank if he's an angel, only to be met with a non-committal answer along the lines of "We've had many names over the years ..." But considering all of the evidence, is 'The Adjustment Bureau' actually religious?