no, no! A wire wheel will scratch the plastic and besides you'll ruin the brissles!
Didn't you watch "Man Cooking with Joe", on the all man channel?
"Take some carb cleaner and spary it in there. Don't be afraid to spray it all @ in there. Good, see how it desolves the coffee stains and softens up the plastic, pretty cool huh?
Now, don't worry about drying it, the HOT coffee will evaporate the left over carb cleaner.
My advice is make a fresh pot and give someone the first cup, they'll thank you for it"!!!.............
"Jesus! This coffee takes like sheet"!