besides the disease aspect of live foods, there is the issue of nutrition.
even home bred feeders (although easier to watch for disease) offer very little in the way of nutrition. feeder fish are basically just skin and bones. the only way that they can offer any real nutrition, is to "gut load" them first. "gut loading" is the act of feeding the feeders a vitamin enriched flake or pellet food, before feeding them to your fish. but why add the extra step? you can just as easily feed the dry foods directly to your fish, and give them the nutrition they need.
there are TONS of fresh/freeze dried/frozen/dry foods available, many of which are specially formulated with your fishes dietary needs in mind. some are even further enriched with other vitamins/minerals/additives for things like growth promotion, color enhancement, enforcing breeding behaviors, etc. with all these advancements in consumer level and readily available foods, there is absolutely no reason to use live feeders, even to supplement your fishes diet.
as mentioned above, worms (super red, black, meal, nightcrawlers, etc) can offer a sore stable and protein rich "live food", and unlike feeder fish, are less likely to contain parasites or disease, but again, most of these things are available readily in dry or freeze dried form.