Goodell says that Irsay could face discipline from the league, but the most important thing is that he gets the help he needs.
Of course, formal charges are just a formality, as Goodell hasn't always required formal charges or a conviction to discipline players. Perhaps it will be different with Irsay, a team owner, but Goodell has been known to be a bit heavy-handed when it comes to issues that may be detrimental to the league.
Irsay failed field sobriety tests, and was found with several prescription medications in the car with him. He's facing potential felony charges, so it will definitely be something that the league needs to address at some point.
Some people are already questioning the difference in media coverage between Irsay's arrest and the coverage of various incidents involving players. Players are called "thugs" by the media when they get arrested. Then, they say Irsay "needs help," as if the players don't also need help.
Perhaps the NFL will take a more fair look at Irsay. Or maybe they'll gloss over it and give him a pass of sorts. Let's see how it works out.