There are some known limitations when using Keynote simultaneously with screen capture programs. Try these directions to increase compatibility:
Yep, you're right. Mission Control off / Mission Control on, it still kicks you out
when you move the GoToMeeting Floating Control Panel
It's a bug they need to fix.
I've found Mission Control does help when I click on the GoToMeeting Control Panel itself.
(the chat button, turn my camera on and off, unmute someone)
But if I need to move the Control Panel, as I often do, boom I'm kicked out of full screen.
Here's what works for me in the meantime:
Instead of clicking the play button in Keynote as I have done for years,
Keynote now has a feature where you can play a slideshow in a window.
It almost looks the same. You get the Keynote menu bar on top
and the Mac Dock, but it plays the slideshow and any animations.
(I suppose you could hide the dock and that would take care of that).
And it doesn't kick you out when you click on or move the floating GoToMeeting control panel
or click on the control panel itself.
Go to the Play menu and choose Play Slideshow in Window.
I'm running Keynote 10.1 in Mojave (10.14.6)
Hope this helps ...
On a Mac- Catalina: When the control panel is clicked on to move out of the way of the screen during a screen share of a Keynote, it kicks me out of Keynote/my presentation. I am using two screens as well: One for my slides and one for presenter notes.
So, far the only work around is: Launch the presentation in the application window, but then I can not see my presenter notes, or make sure to not click on/move the control panel out of the way.
@natdot Unfortunately this is the natural behavior of Keynote on Mac OS when in full-screen presentation mode.
Have you already checked this setting inside of Keynote?