Great idea. Turn up in whitehall, everyone gets arrested or beaten by the coppers and the world turns on. Look it would be nice to think that we could all go down to london surround parliament and the whole thing collapses like a house of cards but that is not how it works. Even with something like the events in Ukraine what that was, was the culmination of years of a large section of the population being sick to death of the rotten corrupt practices of the pro putin elite. The whole thing was also funded by rich people (Timoshenko etc) and was supported by the western political classes, can hardly see that happening here. The truth is that the surrounding of parliament and the dissolution of a government by mass action would only ever happen at the end of a process of strikes, defiance of the police and the states authority disintegrating then the ruling class would panic and force a change of government and throw a few concessions out to appease people. The situation in Britain at the moment is one where the political elite are discredited but the mass of people feel powerless to affect any change in their lives so are hardly going to drop everything and run off to London for an indefinite period of time.
Oh and if work place organisation is "conservative" then the CNT in Spain must have been ultra conservatives and so must every other anarcho-syndicalist union that ever existed. If people can't believe in their ability to take on the boss in the workplace how the hell do you expect them to take on the armed power of the state? Everything starts with the basics, if people see how the whole system is rigged against them and that the ultimate guarantor of the power of the bosses is the state only then will a change come. But to get there will take years of organising and working against not only the management but bureaucratic union bosses as well. In other words we are possibly years away from any large upheavals that could lead to a positive change. The sooner we all stop dreaming and get on with organising over the things in our work and communities the sooner a change will come.