Ok, I've been doing tests, I got something similar, using photoshop.
Create a new file, I suggest it to be larger than your minimum screen size for VX ACE (at least).
Press "D" to reset the colours (black front / white back)
-Go > Filters > Render > Clouds.
-Filters > Render > Differentiate Clouds.
-Ctrl + i (To invert colours)
-Filters > Blur > Motion Blur (adjust as you wish - I used horizontal at 50.)
-Ctrl + T and the image will select itself to be transformed. Shring it vertically only, at will..
-Ctrl + A (select all) > Ctrl + C (copy) > Ctrl V (paste) (Multiple times if needed) and put the pasted below the original one to cover the whole screen.
-Select all layers that you created and merge them together (select them using Shift and then right click on any of them > Merge selected).
-Filters > Distort > Wave (and move as you wish).
-Press W to select Magic Wand Tool. On the options above put Tolerance to 10, check Anti-alias only and click on any part that is white, it will select all white parts on the image, then delete it (use Supr).
And that's it... of course it will not be perfect, the rest will have to be done manually, using the eraser and the smudge tool, work the edges so nothing ends abruptly. Once you are happy with the end result you can use it as a regular fog. I used Woratana's fogs, using blend type 1. Fog Opacity at 40ish and it looked quite similar to what you wanted.
I know it doesn't sound really easy, but trust me, it's not that hard, it may just require a bit of practice and a few tries but not too many.
Let me know if you have any question.
Cheers.