I think there should be a sign that states "NO DOUBLE TURN"
on the East side of the intersection.
I was all most hit by a car turning from the non turning left lane into my West bound turning lane.
One sees these signs in several cities in the US.
Also the Lanes should be changed so Left lane stays in left and Right stays straight with Left and right turn lanes. See Picture.
A. Missing Sign
A. Other Sign
A. Tramway & Lomas