Why does the weather flow west to east?

I've been looking at Karman and Bernoulli and all that stuff to get
some idea why the weather dissipates the way it does overland.

To me it just appears vortex shedding and fairly simple convergence/
divergence/convergence/divergence at the west/eastern shores of the
continents.

It goes round and round, eventually ending up at either pole as per
von Karman principles. But (assuming upper levels rotate in the same
direction) there is no real explanation to the direction.

I ruled out Coriolis Effect for two reasons:
1. It is not a force and the west winds are absolute forces, nothing
else but.
2. If it were a phenomenon, Newton would have found it first.

You'd think the heat source would push air eastwards. The fact that it
does happen in some latitudes "occasionally" is immaterial as this
"occasionally" business seems to rely on total calm -which could
actually be seen as proof that the winds aught to be travelling east
to west in ideal conditions.

Which obviously means something is pushing it the other way.
What?