Jason & Bethenny, with their sweet little one, are a cute family. But.... they are positively required to be outrageous. Otherwise they don't have a show.
I suspect when the cameras stop rolling, they're much less abrasive, more normal. After all, Jason has a job, Bethenny has a lot of business ventures going. They're busy, and this show is just another thing they cram in. It must be exhausting trying to keep the show looking like they're a couple of screwballs. But, somehow they're making it work.