Kim Kardashian better not be counting on Michael Clarke Duncan's vote -- because dude laughed so hard when he caught wind of KK's political aspirations ... his girlfriend got pissed.
MCD and Omarosa Stallworth were outside Staples Center when a camera guy told them Kim's considering a run for Glendale, CA city council and eventually mayor. Michael's awesomely honest response -- "No she's not! Are you playing? Are you serious?"
But Omarosa immediately had Kim's back, saying ... "Run girl, run! You can win."
The whole thing quickly melted down into a heated debate -- Lamar Odom's name even got dragged through the mud.
Check out the lovers' spat. We're guessing Mike's still in the dog house ... a really big one.