I would (using Corel Paint Shop Pro Photo x2)
Right click > Copy
Right click > Paste as new layer
Right click > Paste as new layer
Select first layer, and Clarify 7, contrast boost 5
Select the rest (roughly) of the image using lasso tool, and the 'cut'.
Select the second layer.
Boost contrast 7
Clarify 7.8
Using the lasso tool, select the foreground that leads from just above the bottom right corner, to about half way up on the left side, on the hill.
Edit > cut
Adjust > colour > Channel mixer
On the red channel reduce the red from 100% to 92%
Now boost contrast to liking, and then clarify to liking.
Finally using the eraser tool I would click each layer separately, and neaten up the edges of each layer. Flatten the layers and use the Burn tool to dark the top part of the mountain under the sun.
USM > Radius = 7.00 Strength = 26 Clipping = 5
To get this:
The above editing is typed by memory, as I forgot to type it before I closed the image after saving

But I think it's about what I did.
Not to everyones taste, and probably a little too dark, but that's how I imagine the eyes would see it with such a bright bit of sunshine poking through the clouds.