Agree that it's hard to generalize, as it seems to me, considering the diversity within both regions-- except I don't know of any with body shapes quite like discus, angelfish, Heros, or Mesonauta in Central America (though there are fish believed to be related to them).
I'm not sure where the term "therapsini" comes from? The term I am familiar with, "therapsids," refers to a group that predates the dinosaurs, with mammals being their only remaining 'relatives.'
What I do know is, while details of dating, colonization, rate of adaptation, genetic relationships, etc. have been debated, the scientific consensus seems to be that Central American cichlids originated from South America-- and (as I understand it) are generally considered to be of Heroine lineage, with, for example, those resembling Geophagines believed to have filled those morphological, environmental, and trophic niches due to no geophagines already filling those niches.
There's a huge volume of literature on all of this...
Phylogeny and biogeography of 91 species of heroine cichlids (Teleostei: Cichlidae) based on sequences of the cytochrome b gene - ScienceDirect