You could have a problem with the door latch/switch assembly that is preventing the dishwasher from starting. A failed user interface control, a bad ribbon cable or a failed electronic control board would also cause this problem. I recommend that you
shut off the house circuit breaker for the dishwasher to completely disconnect electrical power
. The image below shows how to release the console on this dishwasher. You can check the continuity through the door latch switches with the dishwasher latch in the closed position. If the door latch and switches are working properly, then you can check the switches in the user interface as shown in the second image below. This information should help you determine the cause of your failure.
You can order parts from this page:
Kenmore Dishwasher Model 665.16493300 Control Panel Parts
The actual control panel console part 8542364 is not likely to cause this type of failure. The user interface part 8539436 is likely bad if the buttons are not operating properly according the test in the second image. The ribbon cable should also be checked for continuity before replacing that user interface control.
I hope that this information helps. If you need more assistance, reply with additional details.
If you get to the point where you need to have a service technician diagnose and repair this failure, you can schedule service through this link:
Sears Home Services