The magic of a dishwasher is really the washing powder. Its not a detergent. I use dishwashing power at times to clean stuff, and it works great.
Suggest just soaking the components in a bucket of warm water mixed with dishwashing power. Careful it doesn't 'eat' the paint off the plastics - test on a sacrificial plastic. We would all like to find out what the result is.
All the dishwasher is doing is splashing the water around and heating it.
