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I would guess if enough grease laden air has passed through the power supply to coat the fan blades I imagine the whole power supply is in the same shape and it would be a bear to clean. Personally I would replace it. Anything you used to dissolve the grease well enough to remove the dust would probably damage the fan and components. There are charged capacitors in there that are also dangerous to work around. Bottom line is cleaning worth it?

Thanks
I will take your advise and replace it with an inexpensive one. I forgot about the charge held by the capacitors. It has not been plugged in for more than a week, so I guess they have discharged by now. The grease is from the oven. I wish that I could avoid this problem in the future.