This is an issue I often have some difficulty with, because what my own gods expect from me is quite different than what other people's deities expect from them; though my understanding is that most of the cultural polytheistic world views are similar to my own. So the appropriate response for me when interacting with folks who are doing a ritual with deities I do not worship (a dirty word for some, but I take the word at face value) is often to simply not participate in those rituals; and generally no one bats an eye.
There is, however, a bit of a dilemma when I am expected to perform specific actions in the context of my (current/future) profession, especially in a Christian, and specifically Catholic context. There is a remarkably high likelihood that I will very soon be working for a funeral home which caters to an overwhelmingly Catholic clientele. As far as I know, the fact that I am not a Catholic is perfectly fine, this may change, I will know more at a later date, but I do not expect it to. No my issue is with a specific action pertaining to my duties as an FDA/FD, and that involves the practice of genuflection. My experience working Catholic funerals has involved some sort of genuflection, unless specified by the funeral home to not do so, in all cases.
I fear I may simply be over thinking the entire thing, after all a genuflection is not a sign of obeisance so much as it is one of respect. Given that I am in the house of worship of another deity, I suppose a little respect is not a lot to ask for, even if I do not particularly care for said deity. I suppose so long as I am able to separate the notion of genuflecting from prostrating, I haven't really anything to worry about. Plus, I suppose it would be the hospitable thing to do as well, showing respect to the "master of a house" is proper etiquette after all, and I would most certainly be a guest in said "house".
I would love to have some feedback on this one.