IMHO, using the Civil Rights Act and the 14th Amendment arguments would be much more exciting.
This crime committed by Congress is lifelong indentured servitude of the entire population and every business with employees in the country.
A tax is a tax.
A required payment from a private person to a private corporation under threat of home invasoin search warrants, arrest, prosecution, and jail terms is not a tax. That is the definition of indentured servitude as written into law during the years between the Missouri Compromise and the passage of the 14th Amendment.
Yes, the individual mandate needs to be challenged all the way to the supreme court. Such a mandate is essentially the federal government taking OWNERSHIP of the individual citizen, and does create a form of servitude. There is no power under the constitution to do that. Yes, they can raise an army, but that is specifically allowed as a power of the government.
As details of the monstrosity come out, the Ninth Amendment should come into play as well.