Well, you said that a "properly educated public" would "be inclined to favor less federal statism", which sounds a lot more like a comment on their political views than simply their thoughts on what is and isn't Constitutional.
Well, the second half of that sentence is "because people would realize that most federal programs are unconstitutional."
As I noted above, I do not believe that educating the people will significantly change their political beliefs--only their views on what is or is not constitutional (among other things) would be affected.