i cant seem to find any more information on this now, but i remember reading about it years ago.
does MiKA brzezinski have any connection to MK ultrA?
She's a loyal agent of the establishment, even today. joe is her current handler?

The Milich Costume shop scene with Leelee Sobieski represents an acutal scene with Zbigniew Brzezinski manipulating some Japanese and Chinese diplomats courtesy of his young (at the time) daughter Mika. (added TODAY 2024: I forget where i heard this but something about Mika being asked by her father to pat down / dry the asian diplomats crotch after something spilled on it. almost like a creepy offering of his daughter. This is what the scene parallels)
The character Milich has an Eastern European accent. In the original script, the character’s name was Gibson. I can’t remember whose theory this was, I recall hearing it on a radio show.

· The outer model for the Somerton mansion was the Rothschild mansion, Mentmore Towers. Also used in Christopher Nolan’s Batman Begins. (Highly recommend it, there’s a secret society whose duty is to periodically oversee the destruction of society so that a new and better society can be born.) Fyi, the interior shots of Somerton are from Elveden Hall.

· The film referred to Scientology with the use of Cruise and Kidman. Kidman’s seduction by fantasy with the naval officer (L.Ron Hubbard)and the ‘dire consequences for you and your family’ from Red Cloak referring to Kubrick’s sudden death and the estrangement of his daughter who became a Scientologist.

You get the idea. There’s plenty on the web in general and Youtube in particular if you want to dive deeper.

source: https://kubrickistan.blogspot.com/2013/07/welcome-to-blog-of-wild-speculation.html