"If there were less people claiming benefits and smaller amounts needed to be collected via tax, then those working could pay less tax."
If fewer people were claiming benefits then the burden on the tax payer will be lower, yes. (Whether that will translate into lower taxes is another question entirely!)
So how should we go about making sure fewer people are claiming benefits? There are many ways we could do that.
Wouldn't it be better to cut the benefits bill by creating jobs and doing something about the housing benefit bill that didn't involve making people homeless or driving families further into poverty?!
Here are some positive things we could do:
a. create more jobs, thus bringing down the numbers claiming benefits as people in work claim no or fewer benefits than the unemployed.
b. do something about the high rents. Building more council housing would be a good start as -if well-managed- it would be an investment for the tax payer (i.e. it would make us money!), it would mean fewer people on benefits as they wouldn't need top-ups to pay extortionate rents, and would have a knock-on effect of bringing down rents in the provate sector (simple supply and demand). It would mean that for those on benefits, the HB money was at least coming back into the public purse, rather than going to private LLs. Once people were no longer on benefits their rents would be adding money to the public purse. The transfer of public money to private pockets via HB is a massive waste of our money IMO.
c. follow sound economic principles designed to get us out of recession
d. enact policies designed to support and encourage decent wages and working conditions.
But, the government is doing none of these things.
The Tories are not engaging in any policies designed to actually create jobs AFAIK, and they are driving us further into the worst recession for decades.
They are creating lots of virtual sticks to beat people with, to "incentivise" them into work, but if there are no more jobs overall (or fewer even) then do the maths! It doesn't matter how desperate those without jobs are, if the jobs don't exist we're not going to get benefits to come down that way.
I can't see how the Tories plan will save us money. Sure, many will have their benefits cut, but, crucially, Tory policies seem to be spelling disaster for the economy, and when the economy shrinks, or stagnates, there will be fewer jobs. And therefore a bigger benefits bill. Borrowing is also going up under the Tories.
The effects of their policies will be to make living conditions worse for all of us (unless very rich), and so create a more desperate workforce which benefits big business.