Random3X,
I disagree, Orthodox Rabbi is a title that implies that the bearer of that title acts in the capacity of an Orthodox Rabbi. If someone is a Rabbi of a Conservative synagogue, he is a Conservative Rabbi, even if he is a complete maiman and a shomer Torah u’mitzvos.
I also disagree with your definition of a chotei l’hachis. I don’t think it requires an acknowledgment that there is a Creator. If someone is an atheist and wants to show his rebellion against the Torah and Yiddishkeit, so he eats pork on Yom Kippur, that is a chotei l’hachis. The point is that he is doing the aveira as act of rebellion and not out of tayvah or ignorance.