Well, yes. You could re-purpose any existing asset for such purposes (e.g. the presidency kinda looks like the Dome of the Rock).
Also, I am not entirely sure how this proposed change would "better utilize an existing game component" - instead of just another tourist attraction, you get yet another religious building. Further, you already got the diamond cathedral which does exactly what you want without (purely cosmetic since you are not actually going to introduce different denominations) "native spirituality" blurb.
Edit to add: Sorry for coming across as very confrontational - I do enjoy a good argument, but that requires an actual argument. You're basically saying "I like native spirituality, therefore the game would be better if they had included it rather than some other building", which is not much of an argument.
Quote:most likely catholic
That is an understatement - the inquisition (now Congregation for the Doctrine of the Faith) is a Catholic institutions (which used to be led by none other than the current pope), and Catholic countries tend to be the ones happy about a papal visit (cf reaction to the papal visit to the UK last year), Christo Redentor was mostly financed by Brazilian Catholics, etc