To be clear, I don't think any of the 'religious' statues or designs are actually allusions to existing faiths. It seems far more likely to me that the games' artistic designers simply used existing works as inspirationfor the look of statues, buildings, and motifs found throughout the series. It may seem like a slim difference in definition to some, but it's actually a huuuge divide.
It just makes logical sense for it to simply be inspiration. Think about it: You're trying to make a fantasy game in an entirely fictional world, full of magic and ancient legends, and you want to instill a sense of history to those lands. How do you do that effectively? Quite simply, you look around the real world and pick successful (meaning well known) examples to imitate in representation of the legends within your game.
For example, the symbol on Link's sheild in Zelda 1 wasn't really intended to be religious; it was meant to imply that Link was something akin to a knight in a medeval setting by association. Religion was a big deal back then, and it wasn't uncommon to see crosses on armor and weapons (they used it almost like a rabbit's foot). Thus, we draw the intentional line from the knight, stereotypically adorned in religious icons, to Link's shield with a cross; ergo we understand him to be a something like a knight in a medeval world. Much like how the crosses on the graves signified that those little grey blobs were in fact tombstones. The Gerudo seem faintly muslim because it creates an easy sense of a middle eastern culture, not because they actually are muslim. If the intention was to make Bhuddist, or Muslim, or Catholic tribes within Hyrule, why not just go out and call them as such? It'd be a lot easier than designing brand new statues and dungeons (etc.) that illustrate the mythos unique to the game world, but resemble existing styles. That's a buttload of work, and as such, it must be deliberate. They don't want Hyrule to be a part of our world.
Bhudda, Christ, Shiva, Vishnu, Allah, the Great Speghetti monster, none of these characters will show up in the game, be alluded to, nor will they even be hinted at, no matter how much Nintendo has borrows their styles (except perhaps as a tongue in cheek joke). Nor is the triforce an implication of the trinity. If you want, you can forcefully infer the triforce to be a symbol of the trinity, or the perfect balance of your favourite condiments on a hamburger (Ketchup, mustard, and relish. None of that sourkraut goop, you heathens). The integral distinction is that it's not remotely intended that way; you have to choose to make it mean that to you, and I guess that's the crux of my post: Zelda isn't a religious game by design, you have to choose to infer it that way. For most of you that's a given, and in this I may seem a little heavy handed; but I fear that sometimes in their zeal, the religious tend to claim works as linked their own faith. It's already happened recently to some degree with my beloved the Lord of the Rings, and I would rather not see that happen with Zelda as well.