You really really really don't understand the conservative objections to Obamacare don't you??
If the law was changed so that the government paid all costs, would there still be such strong objection to it and a constitutional challenge?
Republicans (AKA political naives, corporate lackies/accomplices, and assorted goofballs) don't want government to pay for anything. If government paid for all costs, their objections would increase a thousand fold rather then disappear.