It's not easy to govern a territory with a population roughly the same size of Australia from the front passenger seat of a Suzuki hatchback.

But for two days last week, Delhi's chief minister did just that.

Staging a protest against national government control over the city's police force, Arvind Kejriwal set up camp in the centre of the city's administrative district, refusing to budge until control of the Delhi police was transferred from the federal government to the territory.

His little blue car was permanently swamped by a coterie of party supporters and TV crews.

Since being thrust unexpectedly into power in one of India's most influential states last year, there has barely been a moment when TV cameras haven't been fixed on Mr Kejriwal, the leader of the Aam Aadmi Party, or in English the "Common Man Party".

Fed up with the daily corruption he witnessed while working as a bureaucrat, in late 2012 the former public servant formed the party, with one policy - to eradicate India's deep-rooted culture of corruption. Buoyed by the party's success at the Delhi elections, it's now planning to field candidates in more than half of the seats for the national election due later this year. Many view the party's success as a turning point for Indian politics.

During his protest, Mr Kejriwal would occasionally roll down the car window and members of the public would file past, allowed a few brief seconds to speak to their saviour, before being pushed on by the party heavies guarding his mobile office. Most shared words of gratitude, some told Mr Kejriwal about their problems, and others thrust documents and petitions through the open window and into the leader's hand. Mr Kejriwal listened to each person, but said little. He smiled and nodded and sometimes said thank you, occasionally he would clasp hands around those of his well-wishers in something resembling a joint prayer.

His actions were certainly novel, but Mr Kejriwal soon found that conducting business on the passenger dashboard in bitterly cold temperatures is not sustainable.

Outside the safety of the little blue car in the surrounding streets, hundreds of police - the targets of Mr Kejriwal's protest - were busy keeping demonstrators and party supporters at bay. On the second day, things turned violent. Pictures of police beating protestors with sticks and one officer being dragged away with blood pouring from his head being were streaming live into living rooms across India.

At around dinnertime Mr Kejriwal - a self proclaimed anarchist - ended the protest on the provision that two police officers he had accused of negligence be sent on leave.

Many criticised Mr Kejriwal's withdrawal and believe it was a face saving measure - the protest had caused great disruption to the city, and posed a security threat to upcoming Republic Day celebrations.

It's not the first time the one-month old government has run into problems.

A public cabinet meet-and-greet turned to chaos and was shut down after the ministers were swamped by Delhiites wanting to express their grievances about the city. The Law Minister has been widely criticised for ordering police to conduct a raid on an alleged brothel - without a warrant - that he claimed was being run by African migrants. Critics have accused him of being racist, and ignoring proper processes. He's also been accused of tampering with evidence during a trial in his former incarnation as a practicing lawyer. Cracks within the party itself are also starting to appear, with members criticising the leadership for being un-democratic, and one MLA being expelled from the party.

Mr Kejriwal's is a government learning on the run, and the occasional blunder is expected.

As the AAP's federal campaign gets under way, pressure is increasing on the party to formulate policies on issues beyond anti-corruption, like the economy and job creation.

One AAP insider told this correspondent that many in the party currently believe the public has "unique affection" for the movement that has managed in such an extremely short time to shake up Indian politics, but that the leaders know there is a time limit on voters' patience. Just how long that lasts is key - national elections are due to be held in April or May this year and the AAP is hoping to ride the wave of its success in Delhi into a number of seats in the federal parliament.

The question now is if it can turn the anti-establishment movement in to a credible establishment before voter's patience wares out.