Advice needed: My philosophical position is destroying my relationships

[Ryft]

... saying that we know that's silly ... I told her straight that it's just wrong ... I also told her my frank belief that it's unfounded, ridiculous ... said that believing in religion is plain wrong ...

What the context of the conversation tells me, then, is that you were shoving your beliefs down her throat. Quite frankly, that really is off-putting, Glotte. Her reaction was certainly rational. Your views are not somehow normative for all people by the power of ipse dixit fiat. Your views are just that: your views. When she said that you do not have an open mind, that tells me she thought you were expressing bigotry—and, quite honestly, you were (where bigotry means "stubborn and complete intolerance of any creed, belief, or opinion that differs from one's own"). She is right: bigotry IS contrary to general epistemic virtues. So shoving your beliefs down someone else's throat is bad enough; when its patent bigotry, it is even worse.

My advice? In the context of that conversation I would have described the astronomical clock as being based on the "archaic" views of astrology. There is no offense in referring to it as an 'old' view based on 'outdated' astronomical knowledge, which is not only what "archaic" means but also what you mean. With that expression it is unlikely she would have gotten her knickers in a twist in the first place, obviating the entire unpleasant encounter while being frank and honest about your views.