Hmm. Many people here seem to forget that the rich already pay taxes, that are in turn used to support everyone including poor people.
So in saying rich should not help poor, that means .. well u can guess it. We had something along those lines in the middle ages. Didn't work that well cuz sloooow progress^^
Nowadays most societies try to get some kind of set living standard for everyone. To do this you HAVE to tax the rich ones, at higher rates usually, to get the money needed for this. In turn, it prevents those old problems of some people dying of starvation, revolutions and other stuff. Worked out so far for most countries imo.
Long story short: Yes, rich should be forced to support poor, they are not morally obliged to do so. It is needed to keep the society as a whole running.
On a sidenote: studies have shown for countries with higher taxes and a higher living standard to be less volatile and violent. It is nothing new.