"20 gallon Tropical Community: 2 Mollys, 2 Platys,1 Dwarf Gourami, 3 black Kuhli Loaches" is already in excess of 34cm of adult fish (excluding the loaches) in a 71l tank (30"x12"x12"), there is definitely no room for ~30cm Corydoras trilineatus/julii (a minimum group of 6).
The loaches would do far better in a 10+ group, you might even get to see them from time to time, but mixing these fragile serpentine fish with semi-boisterous Mollies and Platties is a bit risky (they might get far less than their fair share of food and they won't cope with much aggression from the livebearers).
The livebearers would do better in a longer tank (36" min. for Platties, 48" min. for Mollies) with more of them IMO, you might find your gourami does not appreciate quite active fish zooming around him/her.