This might sound weird as I'm finding people perplex over my problem. But every morning my car is drenched in dew and over the years it has ended up staining the windows and paint. You can literally see water-like runs down the side of the rear quarter-panels. At first I thought it was oxidation but I'm seeing the exact same effect on the windows as well.

I bought some light polishing compound and that DOES remove it from the paint, but at a considerable amount of elbow grease. I'm just curious if anyone knows of an easier solution to removing this crap?

 

Chances are: no. What's likely happening is that dirt, minerals, and other contamination being suspended in the water is settling on your vehicle, and then the water is evaporating away leaving the contamination behind. Luckily, you already know the situation is fixable, which says a lot about you taking good care of your pretty lady.

I'd recommend doing a thorough wash/cleaning of the vehicle, and then trying claying it. Don't forget to clay-bar the windows and other hard surfaces (just not plastic or rubber) as this should help to pull a good amount of contamination from the surface of the vehicle that won't come off with normal washing.
Because you know abrasives work already, I'd recommend starting without an actual polish and instead try a product that with clean lightly chemically such as Klasse All In One (often times called Klasse AIO or KAIO). Because it's an all-in-one product, it doesn't excel at cleaning nor protection, but does both just fine. If the KAIO isn't enough, then you can try polishing the affected areas as need be.

In the end, keeping the car waxed/sealed will do a great amount to keep her looking like-new after you've fixed the problem you're currently having. These products act as a sacrificial barrier to contamination making washing / cleaning much easier.