This is such a dumb way to think about baseball, on multiple levels.
First, not all "3 phases" are of equal importance. Pitching is much more important than defense. Miami having better pitching than NC St and NC St having better defense (in your opinion) is advantage-Miami.
Second, being "better" at a phase is mostly irrelevant. What matters is the magnitude of the advantage. NC St may have a better offense than Miami, but the gap isn't huge. On the other hand, NC St's pitching is dramatically worse than Miami's. NC St ran some pitchers out there that didn't look like they belonged in D1, and very few of their guys were impressive (unlike VT). For all of Miami's struggles on the mound this season, the team still has its fair share of studs, and a number of other guys with solid upside.
I don't think Miami is much better than NC St, but I think NC St is a solid tournament team, was at home, and was playing with a chip on its shoulder after last weekend (GT should be a top 5 team tomorrow). And Miami battled all weekend and took 2 out of 3.
Solid start to the year for Gino and the Canes.