>We as a culture decided that science is worthwhile, and that it's worth funding it with public money, which I personally strongly support.

what country are you in, and what percentage of the public purse goes to funding science? In the U.S about 11%, and with that number I often read articles, linked to from this site, about U.S Scientists quitting and going into private sector work or other non-scientific fields to get adequate compensation.

>while also paying good scientists with actual dollars that they could spend in restaurants.

see, my admittedly vague understanding of how things are structured tells me this part isn't what is happening.