There's no evidence linking "hocus-pocus" with "Hokey Cokey"/"Hokey Pokey". The suggestion in the other thread, that the phrase "hokey pokey" might come from the sales pitch of Italian ice cream sellers, sounds a lot more reasonable, but it still doesn't get anywhere towards the dance and its associated song.

BTW the 1904 song from the Greig-Duncan collection that Joe quoted is a variant of "Coulter's Candy", which uses a completely different tune.

The thread on "Hinkumbooby" submitted to the DT from Robert Chambers (presumably by Murray Shoolbraid) locates a version of the dance in early 19th century Scotland, and the tune was "Lilliburlero", long associated with sectarian Protestantism, but there's no link with the Mass and "Lilliburlero" is nothing like the "Hokey Cokey" tune.