Er, no. Guess you missed the part from the portion you cited that said,
"This Constitution, and the Laws of the United States which shall be made in pursuance thereof..."
The only binding laws are those made in pursuance to the Constitution. Those not made in such a manner are no laws, and have no force as such.
Regardless of what John Roberts thinks, ObamaCare is unconstitutional. It has obvious, blatant problems both with 1st amendment freedom of religion protections, as well as 5th amendment (and derivatively, 14th amendment) due process protections. Even taking Roberts' argument that it is a "tax bill," then it is unconstitutional because revenue bills must originate in the House, while this bill originated in the Senate, despite the "shell and fill" game used by the Senate leadership.
I'm glad South Carolina is taking the step of trying to nullify this unconstitutional bill, and I think it is deliciously ironic that the lefties have been paving the way for this to gain legitimacy, with their nullifications of drug and immigration laws at the state/local level. Nice to see them hoist by their own petards.
It is also an illegal tax, as it is direct though not an income tax, and not apportioned among the states.
Also, contraSCOTUS the taxing power only applies to raising money for constitutionally empowered purposes, and, no, “general welfare” is not a purpose.