In some cases, blowing it all up is a perfectly acceptable solution. In this case, where a panel of unelected, unaccountable bureaucrats have subsumed Britain's sovereignty and allowed the unfettered immigration of potential terrorists into the country, it is a solution worth considering.
And government things should be blown up more often. It is not necessarily true that any one particular commercial enterprise (in a free-ish economy) is more efficient or better at its job than a government entity, but if the commercial enterprise starts failing to meet its customer's needs, competitors who do the same job better, or invent entirely new ways of meeting the needs will pop up and people will move away from the old enterprise (see, e.g. newspapers). Thus the free market as a whole will provide better solutions as time goes on - not always instantly, and not for free, but eventually.
Government entities however live off their monopolies, and their only response to complaints is "give us more money and people to do things the same way." The military components tend to get cleansed when they have to actually go out and fight somebody, but there's seldom such mechanism handy for other government entities, like Public Education. They spend their time and effort killing off charter schools, vouchers, and any other idea that will threaten large bureaucratic establishments and teachers unions.
But eventually government entities that become sclerotic and overbearing will implode, it just takes awhile. See, e.g. Venezuela. Blowing up government entities on purpose, before everything has gone in the crapper, no doubt has far less "damned consequences" than the inevitable implosion.
But I have "faith" that the UK is already so far gone that that will choose a "safe" slide into bureaucratic sclerocracy over taking a chance at being British again.