My Dryer won't stop drying until I open the door.

Is the plastic locater lug on the door that makes contact with the switch... intact and making breaking the switch properly?
Also check the switch mechanism to see if it is functioning correctly
This could be your problem if you say everything works ok. when you part the wires of the switch.
you may need to replace one or the other or both if you can remove the door switch take it to a shop that sells parts and ask them to confirm it is working.
You could also ask if you could see a plastic lug off the door then you will know if that could be faulty also?
Best of luck!

What happens when power comes back on

You will need to replace the timer. Here is the part to order.

You need to clean the dryer ducts and vents out.

you could have bad gas coils.if the timer doesn't advance in auto dry most likely you're having heat problems,when the dryer heats and then the heat shuts off then the timer will advance,when the heat comes back on the timer stops,it does this until the clothes are dry.gas coils when starting to fail will work normally until they get hot and then no heat until the coils cool down then they will work again,on time dry the timer just keeps counting down until the time runs out no matter what's happening to the dryer.i've seen the coils fail after the first 10 minutes and other times for 20 to 30 minutes but usually if the load is big and in time dry the clothes will feel warm and you'll need to dry them a second time to get them fully dry,also while you're in ther you should clean out the dryer at least once a year,clean out the duct that the lint filter slides into,vacuum out the cabinet where the motor is and blow out the vent line,if it's a long run i use a leaf blower to blow out the line,remove it from the back of the dryer,stick the leaf blower into the vent line and blow it out,i've blown out birds nest out of some lines, your clothes will dry on time,you won't go through so many parts and you won't have to worry about a dryer fire,the gas coils are on top of the gas valve,remove the two phillips screws,lift off the cover and change out the coils.next time you use the dryer keep an eye on it,after it runs for 20 minutws start checking it,you'll hear a click,then another click and the flame will lite,look into the gas tube and if the flame isn't liting then you have bad gas coils.

Correct, Your belief is wrong! Your wife's belief is correct, the best dryer ever made!
If this happens only when you are using it on an auto setting then it is probably an air-flow problem,a dirty exhaust system. Clean it out!

The link below contains the service manual. Detailed Troubleshooting begins on page 10.

Good luck

MDE9700 Service Manual

If your dryer seems to run forever, it could be because of a clogged vent or internal ductwork. Your dryer may have an automatic cycle that turns off the dryer when the clothes are dry. It does this with a special thermostat or moisture-sensing system.

Normally, this is what happens during an automatic cycle:

• The thermostat tells the dryer to heat until the interior of the dryer reaches a pre-set temperature--say 135 degrees.
  
  
• When the dryer reaches the pre-set temperature, the thermostat tells the timer to begin advancing. (If there's a moisture sensor, the timer advances only if the moisture content of the clothing is low enough.)
  
  
• The timer advances until the interior cools, then the thermostat tells the timer to stop advancing, and tells the dryer to start heating again.
  
  

This cycle continues until the clothes are dry. But…if the vent is clogged, the dryer may never reach the proper operating temperature, so it doesn't send the signal to the timer and the dryer continues to run indefinitely, even if the clothes are completely dry. To fix the problem, clean the vent and/or internal ductwork.

You need to replace the thermal fuse and the timer. A bad timer will over draw a thermal fuse and cause it to blow.

Please remember to unplug the dryer before servicing