Move away from the risk of incompatibility, messy switch over process, variety of hardware settings, fixed single presenter at a time using single cable to projector or TV screen.
Switch over to dynamic discussions and presentations.
Go Podium mode (one user at a time), control by one mediator or
Free Style Group discussion where parties can all show what they mean using their own terminal and own material from where ever the source may be. Be it drop box, corporate server, individual remote terminal, gmail, Internet website, Email or many more sources and share to all in the discussion.