I watched this show once to kill time before something else came on, and found myself hooked. Sure the show has some major flaws -- it's heavy-handed moralizing, largely terrible acting, corny plots, a tendency to take itself way too seriously, and with the exception of the Mary-in-trouble story arc, everything is wrapped up in an hour.
But...
Everyone in the family cares about the others (tho sometimes I think mom has just a touch of an Evil Overlord bent on world domination streak), there's no sex, no violence beyond what's required to make a point, and no swearing. We're drowned in that stuff every day of our lives in every other medium we have. It's nice to find one hour during the week that's free of it. And if it moralizes -- what's the harm? Frankly most ppl could use a bit of moralizing. The other thing I've noticed is that while they're a religious family, and they approach their lives by that code -- they don't force it down anyone's throat, and that's pretty nice to see too. While they are tenacious in their own beliefs, they do allow others theirs... except when it impacts their family, which is understandable.
All in all, the irritations of the show are more than balanced by the sweet nature of the show, and the very family friendly spot it occupies. It may not be entirely realistic, but it's not entirely false either -- and if I want realism I can look at my own family which is just a bit *too* real.