Well, the actual St. Patrick's Day is Sunday, March 17th. So I would say for the 1st Round Game, St. Patrick's Day is totally irrelevant.
As for Saturday, March 16th, the holiday will take over Suburban Dublin (NW Side) But Dublin is a pretty orderly community, and wouldn't rank very high on the chaos scale. Perhaps it's similar to Mentor? And it's not on your route anyhow.
Downtown Columbus will undoubtedly celebrate; and I presume High Street near campus also will. But honestly, if you access campus from SR315 and use the Lane Avenue Exit, I bet you won't notice any holiday traffic at all.
As always, check to see if there's an event at the Schottenstein Center. Plan accordingly. But that should be it.