The end repair was very simple and took minimal effort. The time and difficulty was all in the testing. I disassembled the dryer and removed the drum and then hard wired each thermo-fuse to determine where the fault was. After test all of those I was stumped. When I opened the door the light would not come on so I assumed it was a power fault closer to the source. However after all of my testing I couldn't find anything wrong. I then removed the light bulb and realized it was burned out which led me to the door switch being the fault. I removed the switch and soldered the three wire together and the dryer started right up! All I had to do was order a new $15 part, unsolder the wires and plug them in. Would have been so much simpler if that light bulb hadn't of been burned out causing me to over think my diagnosis. This was my first major appliance repair and I did it with only the help of the parts diagram provided on the website.
First unplug dryer to prevent electrical shock. To remove the front of the dryer, open the door in top left and top right corners is a machine screw. They can be removed with a Phillips screw driver. Lift the top slightly and let front fall forward about 6 inches, lift slightly. Two wire will be connected to the switch in the door. remove the wires and squeeze the tabs on both sides of the switch and push it out. Push new switch in to replace old switch and reassemble.