I think it depends on your definition of 'rich'. You make enough to live debt-free and accelerate your mortgage payments. You could choose to allocate that income towards other items that people associate with "rich" people (cars, vacations, etc), but you don't. Personally, I define 'rich' as living comfortably. People who can afford luxury cars, first-class travel, etc. are at a completely different level.
+1 Except for the thought on luxury cars. Once the mortgage is paid off then why not, if of course, you have been saving all along.