I like your mentality, but sadly the government doesn't. They talk about "people who cannot find jobs even if they try", hence the benefits. Bloody politicians.
Some numbers, the DWP spends about 120 billion a year, 17 billion goes on JSA/income support and housing benefit, the rest is for pensions (67 billion) and other benefits which include disability etc, of the 17 billions that goes to work related benefits less than a billion of that is actually thought to be by wrongful claimants. So as much as we do pay for the people who abuse the system, that is not where the majority of our hard earned tax goes, again the media and politicians would have you believe so.
All of this is with a total spend of 650 billion.... food for thought perhaps.