Magistrates ordered West, who also admitted slashing her partner with a knife and assaulting a police officer, to carry out community service.
She was struck off after the General Dental Council ruled she posed a risk to patients and that her "appalling" behaviour had brought the profession into disrepute.
At a hearing on Friday, the council's professional conduct committee watched the YouTube clip, entitled My Tram Experience.
The footage, which lasts two minutes and 25 seconds, sees West holding her then four-year-old son on a tram from Wimbledon to New Addington.
She shouts at passengers: "What has this country come to? A load of black people and a load of f***ing Polish.
"You ain’t English. No, you ain’t English either. You ain’t English. None of you’s f***ing English.
"It’s nothing now. Britain is nothing now. My Britain is f*** all now."
West was arrested and charged with a racially aggravated public order offence within days of the footage becoming viral. >>>more at source<<<