I have a problem with people coming to take my money from me too. £1 billion equates to about £17 a person, and that's no small sum. If you consider only the people working (and pay the majority of the tax), it increases to a not as palatable sum of £30 or more.
That said you are complaining about £30, what would you do, cut all benefits? for the small minority of people that claim when they shouldnt would you take away money from low income families or single parents just to make sure your hard earned £30 isn't going to some sponger? nevermind £30 when the govt gets hold of the £1000's in tax that you will inevitably be paying it they will waste a hell of a lot more than £30, its all in context IMO
And I know you like your maths, so of the average wage of maybe 15-18k perhaps 3k of that will be in tax (not to mention all the other taxes they hit you for after VAT, council, road etc etc) so that £30 equates to 1% of your taxes.