Yep. The Obama-care personal mandates requiring people without employer paid healthcare to get their own was originally a Republican idea: how to eliminate the free riders (uninsured folks using the emergency room for health care, driving up the premiums of insured people) without going to a Canadian style single payer system (the preferred solution of the Democrats at the time). But once a Democrat adopts a policy developed by the Republicans, It is of course the wrong idea and must be stopped.
As for where the Supreme court will come down on it, it will likely pass muster in some form. The idea of personal mandates is almost sure to pass because the argument against it is irrational. The claim that a person should not be forced to participate in the market is a red herring. The market is healthcare & everyone participates in it at some point in their life. The personal mandates are a means of regulating that health care market which is entirely constitutional. To kill Obama care on that principal opens a lot of existing regulatory power of the government to being unconstitutional as well, which is a can of worms that neither the Republican nor Democrat justices are going to want to open up.