Yes, the characters are over the top. That's because this is a comedy and not a documentary. The Indian characters are stereotypical, but so are the American ones. The Mills Family are every single American stereotype wrapped into one family - it's actually impressive that the writers managed it: overly religious, petty, redneck, hunting, etc. - every American stereotype ever, wrapped up in a bushy beard and a bleach-blonde hairdo.
So two stereotypes - Indian and American - living next-door to each other: it was just funny. The youngest Pradeep was adorable, and not at all realistic for any child his age, no matter what country they came from. But it's a tv show and not reality.
It's not perfect, far off from that. But it's definitely pretty funny and good for a Sunday binge.