Hi,
Yes, It's most likely a bad wash motor, this has become a common problem as of late, many members here have reported the same. In fact I had 2 this past Sept. 2018 in Parker, Arizona that did the exact same thing, and the new wash motor fixed them both.
Look at post #7 here:
FIXED 665.13472N411 What to check on why it only washes about 5% of the cycle.
I'd first check to see if your getting 120 volts to the wash motor when it should be in the wash cycle. His Kenmore 665 is made by Whirlpool, and uses the exact same wash motor yours does.
Take the wire connector off the wash motor and use your multimeter to see if yours is getting 120 volts when it should be washing, if so and it's not running order the wash motor below.
Here's the wash motor assembly for your model:
This part is a pump and motor assembly that is manufactured for use on dishwashers. The purpose of this part is to pump water through the spray arms during the dishwashing cycle.When this part has failed, the user may notice that the dishes are not being cleaned thoroughly. This is because the...
click.linksynergy.com
Here's the video to replace it:
This video provides step-by-step repair instructions for replacing the circulation pump on KitchenAid dishwasher model #KDTE204EPA3. Learn more from the experts at Repair Clinic.
www.anrdoezrs.net
Jake