The Kinsey Sicks star in "Oy Vey in a Manger" at Theater. (Paco Ojeda)

The Kinsey Sicks are still trying to offload their manger, before the bank forecloses on it. But the urgency of that task hasn’t kept them from following the news. In the updated edition of the giddily impious “Oy Vey in a Manger” — at Theater J through Dec. 28 — the four members of the well-known “dragapella beautyshop quartet” once again sing outrageous, raunchy remakes of holiday songs and indulge in campy patter. But this time, a portion of the talk and music reflects the age of Trump.

For instance, the current show includes several arch references to Stephen K. Bannon, incoming White House chief strategist and senior counselor. (On one occasion, if memory serves, the name “Bannon” rhymes with “let the Klan in.”) With a nod to the next administration, a musical number — performed soft-shoe style, with silver canes in hand — celebrates the ascendancy of “All the White Faces.” And a spoken toast salutes “The next leader of the free world: Vladimir Putin!”

The topicality sits comfortably within the relaxed framework of “Oy Vey in a Manger,” which Theater J previously showcased in the 2010-11 and 2011-12 seasons. “Oy Vey in a Manger” captures the four glamour queens Trampolina (Spencer Brown), Trixie (Jeff Manabat), Winnie (Nathan Marken) and Rachel (Ben Schatz) as they prepare to host an open house. The women have some tidying to do: Red strings of tinsel (or are they spindly feather boas?) straggle across the space, which is jampacked with Christmas and Hanukkah ornaments, including reindeer sculptures sporting pink sunglasses.

In between cleaning and gossiping about their love lives, the gals (who are decked out in party dresses, with gloves) share a cappella versions of seasonal favorites such as “God Bless Ye Femmy Lesbians,” “I Had a Little Facial” and the ribald “Lusty the Snowman.” No sacred cow is too delicate for this foursome to rope into a rodeo of spoofery. Most major religions come in for at least one dig — in some cases, in connection with the fact that Rachel and Winnie are Jewish, and Trampolina and Trixie, Christian. Even the history of the Donner Party becomes fodder for song (“Soylent Night”).

Each member of the quartet displays a distinctive, if equally glittery, personality. It will be hard to forget the elegant Trixie’s paean to the diet brand Jenny Craig (crooned to the tune of “O mio babbino caro”), or the bubbleheaded Trampolina’s recollections of working in the porn industry. The organized Winnie sounds her pitch-pipe at just the right moment before each song, and the wanton Rachel throws caution to the winds when she bounces lasciviously on an audience member’s lap.

The characters’ personalities dovetail artfully with the show’s topicality. For example, in one of her many unguarded moments, Rachel confesses to seeing the bright side of any anti-Semitic rhetoric that may be mainstreaming at the present moment. “All that fleeing for my life is so slimming!” she exclaims.

The Kinsey Sicks in Oy Vey in a Manger. Through Dec. 28 in the D.C. Jewish Community Center’s Goldman Theater, 1529 16th St. NW. Co-scenic designers, Audrey Bodek and Tom Howley; lighting, Garth Dolan. About 1 hour 50 minutes. Tickets $47. Call 202-777-3210 or visit theaterj.org.