I haven't been able to dig up much information about Glorious Strangers aside from what the always great Mutant Sounds blog had to say:
"The product of one Wharton Tiers, esteemed NY engineer for the likes of Branca/Swans/Sonic Youth back in the day, here working alongside his wife Carol on vocals, Glorious Strangers being one of two of Wharton's period projects to feature on MS, Jim having posted the 3x7" set by his concurrent outfit Social Climbers some time back. Under the Glorious Strangers guise, he and Carol concoct smirky bon mots of demure quirk akin to Y Pants or Inflatable Boy Clams to vaguely amusing effect."
"Move It Time" is from the impressive compilation New York Noise, Vol. 2, a compilation that showcases some early 80's no wave bands and features the likes of Sonic Youth, Glenn Branca, Jim Jarmusch, Arthur Russell and more. If you like bands like ESG, you might like Glorious Strangers.