The vent was open and I made sure there were not turkey parts touching the little thingy that sticks out from the cabinet back.  I wonder if the brining had something to do with it.  There was a lot of moisture in there.  It was also about 45 degrees out when I started.
		
		
	 
When I did a turkey on last Thursday, it was also in the 40s.  We also had a pretty steady breeze bu not what I'd consider to be wind (not by our standards, anyway).
My MES 40's 1200 Watt heating element was on 100% of the time for at least the first hour, which held the temp at about 268 (with the temp set to 275).
So it wasn't able to get the smoker up to the setpoint.  But it was high enough to do what needed to be done.  After a few hours, the temperature did get up to the setpoint, and the heater started cycling on and off.  
My MES's door seals well, but I had the vent completely open and the chip loader and chip tray pulled out quite far to give maximum ventilation so as to keep the 
AMNPS burning well.  So I had quite a bit of ventilation drawing through the smoker.
You also had two turkeys to my one. 
I had the drip pan dry (again, to help the 
AMNPS to burn reliably). 
But my turkey had been brined, too.  So I don't think the brining caused the problem.  The extra "turkey load" had to keep yours cooler than mine, but I would not have thought it would make that much of a difference. 
I think you should fire up the smoker again, but without any food, and without any water in the tray. 
Then see if it will heat up properly.  Try setting the temp up to 275 and see of it can get the chamber up to that temp.  You might also keep track of how long it takes it to get up to 275 (assuming it ever can).
Let us know what happens.
Also, remember that there are two temp sensors in the cabinet, as well as the third (meat probe) sensor.  One is up high, and is the emergency cut-off.  The other is a slender probe, about 1/8th" in diameter and a half inch or so long.  It's the one lower in the cabinet.  That is the probe in question. 
Phoned in.