ok, to answer seriously, the anomaly of the north-east is exactly that - but the public sector is huge everywhere...
there is an element of self-feeding too - he government spends money, it actually gets back a reasonable amount of what it spends in ery short order (think about it - if the government spends £1000 on goods/services - how much is paid back in VAT, income tax, other varieties of tax...)
on top of those directly employed by the state there are whole private sector businesses that depend 100% on the state for custom eg. suppliers of temp soial workers/teachers/doctors/binmen....
so, yes it is vulnerable to spending cuts, but...spending cuts tend to be a consequence of a down-turn where the private sector is taking a much worse hammering -
in the current situation, jobs in the public sector, or with public-sector suppliers are greatly more secure.
whether or not the tax payer is getting value for money from all those people and expenditure is a very different question...