In CCSM (CompizConfig Settings Manager), go to Desktop > Ubuntu Unity Plugin > Experimental and change the setting for "Launcher Reveal Pressure." By default, it is set to 20. I changed it to 1 and the launcher reveals now with absolutely no problem!
Ah, I HAVE FOUND A FIX!
In CCSM (CompizConfig Settings Manager), go to Desktop > Ubuntu Unity Plugin > Experimental and change the setting for "Launcher Reveal Pressure." By default, it is set to 20. I changed it to 1 and the launcher reveals now with absolutely no problem!
I hope this fixes it for everyone else.