Actually, the cost is more like $370 per person or $1,000 per family per year.
Report: Uninsured Cost Families Extra $1K - CBS News
As to the multi-thousand subsidy: Well there are 134M US taxpayers, of which 100M actually paid tax. The outlay on the health care plan is $100B per year, so that is $1,000 per family... almost a wash.
As to spending money to make money, that is an axiom of business. The basic premise of health care savings is the current burden of the uninsured on the system is greater because we are fixing problems in the high cost emergency room rather than averting problems with the preventative doctor visit. Arguing this premise is legitimate, but that is the real debate. Yes, we are spending money to front-end this. But the total ticket on the system is about the same over 10 years as prosecuting the Iraq war cost us in 7 years. There should be a better ROI on this one.
I wish we had half the discussion of the cost of Iraq war before we engaged in that. I would then better respect the intellectual honesty of those that argue this on cost.