The problem isn't should the rich pay more. The problem is most countries have ways that the rich end up paying less than the middle income earners who are propping up the entire country.
If you can't get work then a government subsidy is good. It helps prevent homelessness which creates more problems down the track. However, if you're out of work and not prepared to work then yes, that is a problem.
But what about the rich who make so much money but pay less tax than anyone else? How is it fair that the average citizen is paying more than a rich person? Yet these rich people still use our roads and our schools and our hospitals, etc.
Here in New Zealand we have three tiers for tax. The highest rate of tax is on the highest earners and it 39%. However, the rich end up using accountants and lawyers and create a bunch of trust accounts that pay less tax and then pay the rich a "wage" which puts them in a lower tax bracket. This means that while they could pay their fair share, they don't, and as a result leave the burden to the middle tax bracket which is by far and away the largest tax bracket.
The rich mooch off society just as much as those who don't want to work, leaving the rest to prop up the country. Tell me how that is fair?
You could make the claim that those methods used by the rich could be employed by the poor and middle class but who of us can afford good accountants and lawyers to get it setup? We're too busy paying taxes.