I have a similar matter - I often start as the aforementioned NOOSE model which transforms into Franklin once I go off-duty. However, there are many differences. First, this doesn't happen to the first and main character, only to the new ones, who got their on-duty uniform via EUP Menu and the Apartment wardrobe, not the LSPDFR Locker. Second, I don't experience crashes; this is counterbalanced by me being unable to use both the Locker and the Garage while in "NOOSE" mode.
As for the mods from your list: I have EUP Menu, EUP Configurations, EUP - Law & Order and Cop Holster. Each one is the latest version.
How many characters do you have?