Of course they do. Its name is "Congress". The Lower House of Parliament is called "House of Representatives" and the Upper House is called "Senate".
No, actually we don't have a parliament. BRTD's point is dead-on: if Congressmen in the U.S. were simply appointed by the party we would have way more women and minorities in office.
New Mexico irony: the last two 'minorities' in federal office were both Republicans: Heather Wilson (female, duh) and Manuel Lujan (Hispanic, also duh). All the Democrats are white males.
Bill Richardson... a "white" male?
Governor is a federal office?
He represented the 3rd CD for many years before going to become Clinton's UN Ambassador and later Secretary of Energy. He will most likely become a U.S. Senator at the first opportunity.
But I believe he falls outside of the range of the "last 2" officials.