Well, on general practice, an affiliate of the ABC is not one I'd be likely to want to associate with, no more than other denominations. However, they should not be touching "the unclean thing" in any case, be it siding with Right-to-Infant-Execution, approval of alcoholic elixirs in church and social venues, blindness to pederasty, or whatever other abomination is not summarily dealt with in church discipline. We know what Babylon is, symbolically. That is not in question.
It is not the ABC that needs to come out of that which the Bible refers to as Babylon, for they never were in it. And they should not seek to throw in with it, for which he wrongly pleads. No, it's anyone that's already in it, who has somehow tumbled to the requirements for salvation despite contrary influences, that ought to come out of her/it. Your direction indicator seems to be a bit muddled at the moment--especially that it draws you to laughter, when wailing is the correct response.
Thanks for making that clear.