Muliple Users, One View Desktop

Hello!  I've been tasked with setting up a view desktop in a conference room that would be available to any user that needs it.  We are using Wyse P25's as the zero clients.  My difficulty is this, is there a way to assign a desktop to that zero client and still allow a user to login to windows on it?  I've played around with Kiosk mode however I couldn't figure out how to allow multiple users the ability to login on it.  Any thoughts?  Most of my users already have access to a desktop pool however what I've been asked to do is separate that from this conference room desktop.  One thing I thought of would to be setup a seperate View connection server with a floating desktop that's available to everyone however can two separate connection servers access the same backend resources at the same time?  (i.e. ESXi, vCenter, etc)