I have an 07 H3. Recently I brought it in for service. The power steering fluid was replaced, it was spilled all over the engine compartment. I waited for the vehicle to cool. And I cleaned out the areas that were covered. I used drag soap and a small amount of water. So that I didn't soak down the engine compartment. Now the problem I'm having is the engine is over heating and I have small amounts of coolant dripping down onto the passenger side floor. Also front passengers window and windshield on that side are fogging up.

 

You have a bad heater core, that will leak on the passenger side, the exposed hot fluid will fog windows.

That is a separate problem from your overheat. If your radiator has power steering fluid all over it, then it will inhibit heat transfer because the cooling fins are dirty. Might try a good cleaning of that, front and back, with mild soap and a thorough rinse (do not pressure wash).