The degree and scope of poverty in American are vastly overstated. The most popular metric in this regard is the official US Census estimate of poverty, which
explicitly excludes the vast majority of welfare transfers. It excludes all in-kind transfers (Housing, Food Stamps, Medicaid, etc) and all de-facto cash transfers (such as "refundable tax credits", which are deemed "negative taxes" and so are not counted as cash income, even if they result in a check in the mail). In other words, if your pre-tax income puts you $1 below the poverty line, the US government announces that you are in poverty--even though you are eligible for (and presumably receive) tens of thousands of dollars in welfare support in the form of free housing, free healthcare, free food, free early education for your kids, free cash through tax credits, and subsidized cell phone and internet access.
Once you account for in-kind and de-facto cash transfers, America's poor are supported at a lifestyle which is close to the median American household and significantly higher than the median European household.