For many in the UK, that point arrived a long time ago but there are various definitions of poverty. Your point is well made though and reflects a society based on greed and selfishness.The poor Greeks have a climate that allows them to be self sufficient in vegetables all year round so I would say your poor are going to be worse off than the Greeks when the fecal matter hits the fan...
Today, materialism is worshipped in the way that God was three or four generations ago and that has served to magnify the gulf between the 'haves and the have-nots' in UK society. Sadly, materialism is not something unique to the UK so two-tier societies have become more apparent in many countries and one needs to look long and hard to find any society where the rich are ruled by the poor.
Tom