Michaele and Tareq Salahi -- the couple that allegedly crashed the White House -- will enter the next season of "Celebrity Rehab" ... along with one of the greatest NY Mets players of all time ... TMZ has learned



Sources connected to the production tell us ... Dr. Drew will have one hell of a cast for Season 5 ... including:

Dwight "Doc" Gooden ...................Former NY Mets pitcher
Tareq AND Michaele Salahi ........ Alleged WH crashers and "Real Housewives of D.C."
Bai Ling ............................................ Actress?
Michael Lohan  ............................... Lindsay's dad
Jeremy Jackson  .......................... aka Hobie from "Baywatch"



Were you expecting Charlie Sheen?