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.