As the committed core of the Brooklyn Libertarian Party gathered Wednesday night at the rear of Freddy’s Bar and Backroom off Flatbush Avenue, the theme from the film “Mission: Impossible” played over the loudspeaker. The music seemed apt when the party’s mayoral candidate, Audrey Silk, set out her aims for the November election in front of an enthusiastic audience of four. “My objective is to unseat Bloomberg,” Ms. Silk said with a chuckle.

A retired police officer from Marine Park, Ms. Silk, 41, recognized that the odds against a Libertarian victory in the mayoral race are rather high. She said, though, that she might be able to divert enough ballots from Mayor Bloomberg to swing a close vote to the Democratic challenger. She would rather see Fernando Ferrer, say, occupy Gracie Mansion come January 1 than live through four more years of a Bloomberg administration.

“I’m a lady in leisure right now. I live off my pension, which means bologna sandwiches,” Ms. Silk said. “I own a home, so Bloomberg’s property-tax increase was a heavy blow to my budget.”

Ms. Silk is a newcomer to the campaign trail. In February, the Manhattan Libertarian Party chairman, James Lesczynski, recruited her to run after she had emerged as a leader of the unsuccessful campaign against the city’s indoor-smoking ban. Ms. Silk carries an aversion to the baby-kissing and the rubber-chicken dinners that are staples of local political races. “I don’t expect to stand on corners,” she said. The other night, when the party’s candidate for Brooklyn president, Gary Popkin, 67, suggested that activists begin canvassing on subway platforms at 7:30 a.m., Ms. Silk let out a groan. “I’m so friggin’ lazy – I admit it,” the candidate said.

The Libertarians are devising their campaign strategy without the aid of seasoned political operatives. “I’m telling my donors that all the money is going to spreading the message – no salaries, no paid consultants,” Mr. Popkin, a retired professor of computer systems, said. Thus far, he said he has raised $150 in contributions, from two friends. Ms. Silk, meanwhile, said she has gathered $1,000.

In devising their plan of attack, the Libertarians are relying on political amateurs such as Vladimir Vizner, 34, an attorney from Bay Ridge, and Stephen Finger, 62, a physician from Sheepshead Bay, who turned out for this week’s session. Ms. Silk, who is divorced, basked in the company of a lawyer and a doctor. “My Jewish mother would be thrilled right now,” she said. The fourth member of her audience was Laura Jo Anderson, 25, an actress from Prospect Heights.

In the first tough call of the evening, the five activists considered Mr. Popkin’s proposal to send a Libertarian delegation to tomorrow’s Mermaid Parade, which pays homage to the Mardi Gras celebrations that occurred at Coney Island until 1954. Mr. Vizner expressed qualms. “Us showing up in suits, we look like – what’s the right word – dorks,” he said.

Mr. Popkin is most animated about his education plan, which would offer every student a $6,250 voucher to attend a private or parochial school. Per-pupil expenditure in the city’s school system is nearly $12,000, and Mr. Popkin calculated that the city could save hundreds of millions of dollars a year by allowing families to opt out of public schools. But Ms. Silk said she believes the city should focus instead on fixing public education by weeding out students with persistent disciplinary problems.

“There comes a point at which you can’t teach them anymore. Once they know their ABCs, put them in a vocational school so they can become a productive member of society,” Ms. Silk said.

On other issues as well, the party is not completely united. Ms. Silk, fresh off her smokers’ rights crusade, fiddled with a pack of Parliament cigarettes and began to draw one out. She asked, “Anyone mind if I commit an act of disobedience?” Even the Libertarians advised Ms. Silk to abide by the indoor-smoking ban. She insisted that the inhalation of secondhand smoke is benign. But Dr. Finger, an ear-nose-and-throat specialist, said: “It seems to me like it is harmful.” Ms. Silk grimaced.

Shortly after 8 p.m., the Libertarians were ousted from their backroom lair. The space had been reserved for an adult spelling bee. The activists willingly moved their session onto the sidewalk. “They’re agreeable folk,” the bartender, Roger Paz, said.