I know wine developers will blame me probably and that's not support question, but many people asks for it.
I wrote tool called wine-systemwide. A set of bash script and C installer, which allow to use single wine prefix by multiple users exclusively (not at the same time). One user run this script and it create a lock, so nobody else can use this prefix. That's still pre-alpha and someone must copy installer of Windows program into location accessible by wine-systemwide to install program. There also no desktop file copy mechanism, but user can ran program by command line.
Test it!
https://sourceforge.net/projects/wine-systemwide/
