What is my ideology?
Again, the same cause of belief in the Holocaust.
One is fiction and one is not.
So because you personally believe in one and disbelieve in the other, that means every baby on the planet is born with exactly those same beliefs? What else, if anything, are babies born believing in?
I must apologize for having introduced you to a word that you seem to lack an understanding of. For convenience, here is a definition:
Faux - Definition and More from the Free Merriam-Webster Dictionary
And no, just because "fake" and "sham" are listed as synonyms, that doesn't mean that your impending jubilant post of "hurr, c im rite christ-insanity iz faux durrrr" is accurate. "Faux" refers to something that is, essentially, counterfeit; calling Christianity a faux ideology as a means of saying that it is incorrect or untrue is using the term "faux" wrongly. To give you a better understanding, one could say that the Jedi religion is a faux ideology based on the following:
https://en.wikipedia.org/wiki/Jedi_census_phenomenon
The Jedi census phenomenon is a grassroots movement that was initiated in 2001 for residents of a number of English-speaking countries, urging them to record their religion as "Jedi" or "Jedi Knight" (after the quasi-religious order of Jedi Knights in the fictional Star Wars universe) on the national census.
It is believed the majority of self-reported Jedi claimed the religion for their own amusement, to poke fun at the government,[1] or as a protest against the inclusion of the religion question on the census form.
You see, these people are essentially using the census process to artificially establish the Jedi religion as an actual statistically significant religious affiliation, though none of them actually believe in it themselves. Thus, in the context of the national census reporting that over 390,000 people in England and Wales are Jedi, it can be said that the Jedi religion is a faux ideology. Likewise, Pastafarianism is a faux ideology, as no one actually believes in that either.
I hope this has strengthened your understanding of the appropriate use of the word "faux".
and obviously your interpretation of the separation of church and state.
I'm not certain what you are saying here. You believe that, if asked about my opinion on the concept of separation of church and state, I would reply "Christianity"? Did you perhaps mean to separate this section into another sentence? You are being rather unclear.