Somehow, I don't think that two people are responsible for something like this. First of all, the only date I can find in the article is 13 years - which is when the couple met. That happens to be just when Blair was coming into office. Somehow, I doubt that they saw the election and said "Oh! Mister Blair will take care of us! Let's get married and make the world's population pressure worse!". The kind of system that supports such a thing really tends to be years in the making, because in the first years people are on the lookout for faults. We are seeing it in the US with the health insurance reforms - the opponents of the current legislation tell us precisely what we should be worried about and they search out the gross examples.
Second of all, does your country not have a party system like the US? Did you not renounce monarchy in all but name? The centuries of blaming every governmental problem on a single person or a pair of people came to an end along with divine right. I found this particular quote especially damning:
"'It cost too much to carrying on working as we were actually better off unemployed,' said Mr Davey."
This speaks of more than just one person or one party's liberal spending spree. This speaks of a systematic problem, wherein you have workers who have lost hope. That means you need to work on the job structure, and make it more inconvenient to be on public assistance than to work one or two jobs. The trick is that you need to do this without humiliation, because for every Davey family and every Octomom, there are a hundred families that genuinely need the assistance. They don't deserve to be humiliated. It's humiliating enough to have to ask for help from the government.
Third of all, did you miss the part where unemployment is soaring throughout most of the developed world? It has little to do with Labour or Conservative or Republican or whatever (although I'm not saying they helped the situation) and more to do with a bunch of terrible circumstances descending on us all at once. Those who want to work in the US can't get much either, and we don't give a crap about Labour Party, BNP, or the Queen herself.