It hasn't worked out that way, has it? See what former Senator John Sununu of New Hampshire has written for the Boston Globe:
Since Oct. 1, about 100,000 have signed up for new coverage under the law, while nearly 5 million families have had their current plans canceled.In other words, not only is Obamacare not solving the problem of missing health insurance, it is actually making it much worse! No wonder Americans are unhappy with Obamacare and its eponymous sponsor.