According to the OED, "hoax" dates from around 1800, which is more than 100 years after "hocus-pocus". They say there's no evidence to link the two, but it's a plausible guess that "hoax" derives from "hocus".

I don't see any resemblance between the tunes for the Hokey Cokey and Lubin Loo.

Maybe that's because we don't have CofE in Scotland Dick. High Church is Anglo Catholic, and would attract opprobrium from either side, as they'd both find things to hate about it.

The CoE in Scotland is called the Episcopalians, known as "Piskies" to most people in Scotland on the Protestant side of them. No subjunctives about it, most Rangers supporters do see them as covert Catholics. (Historically they were a lot more strongly aligned with the Jacobites than the Scottish Catholics were - i.e. in Scottish political terms they were more Catholic than the Pope).