Even today coconuts are migratory as they float across oceans & come ashore to sprout.
I would explain the discontinuitys in the plate tectonic model you mentioned as artifacts of punctuated geologic equilibrium.
What is punctuating you ask? Asteroid/comet strikes, earthquakes, supervolcanoes, Missoula floods & their ilk, ice ages, etc. These are not included as parameters in the tectonic models specifically.
The model is error prone I beleive only inasmuch as it lacks data points; the idea is after all relatively new, originating in the 1960's.

__________________

Nemo me impune lacesset. ~Unattested