Ummm ... yeah .... what you wrote about with the person twirling is the same dynamic in play between the northern and southern hemispheres.
Of course the direction of rotation is not changing ... that would mean that the north hemisphere of the Earth spins one way and the south hemisphere another way.
I realise that doesnt happen and that it , like many things, is a question of perspective and point of view.
The spinning person in your analogy who " Suddenly they are magically turning clockwise again" hasnt pulled off a magical feat. The other person did pull off a physical feat - by standing up and changing POV.
Now, if you can change YOUR POV and instead of a person spinning, visualise a ball spinning in space, and if you view it from above or below (north or south hemisphere) it too will have 'magically' changed direction of rotation (not).
So although if two people were spinning, one in the in the north and one in the south, they go in different directions from their own perspective geocentrically but they are moving in the same direction from a heliocentric POV, which would be the view ( ie, 'at' the earth, from above, below or the Sun, etc) of 'space gods' - if thats what you mean by "transcendent-gods-worshipper".
Again movement is about the 'apparent' motion of the sun across the sky. It will always come up in the east, (earth will always spin the same way , and produce certain dynamics because of that ) but east isn't left or right, left or right is dependant on POV.
No reconciliation is required. A closer look at energetic dynamics might be?
I think the best way to answer your question from a magical perspective is to meditate on these;
http://paulgroomphotography.co.uk/wp-content/uploads/2013/05/vortex.jpg
http://www.marinebio.net/marinescience/02ocean/swimg/wwdrift.jpg
http://31.media.tumblr.com/52d219686a36d25102ffb5cc237829c3/tumblr_n7esq5zqrs1sn5m9vo1_1280.jpg