By the way, the move order in your example: 1 e4 e5 2 Bc4 Nf6 should NOT, in my opinion, be immediately transposed into the Vienna because of the 3 Nc3 Nxe4 possibility. 3 d3 is better and then 4 Nc3 5 f4 can win a lot of games.
2.Bc4 Nf6 3.d3 can be met in two ways. One is 3...c6 4.Nf3 and now either 4...d5 5.Bb3 Bb4+! (used by Caruana to beat Magnus) or simply 4...d6 when white is playing a very unambitious variation of the Philidor (with a pawn at d3 instead of d4). And of course 3...Nc6 4.Nc3 Na5! is another reliable way to play as Black.
Feel free to play any opening you've worked at as white, but you shouldn't expect anything resembling an advantage with the Vienna.
Thanks for the insights.
I thought that was an irish gambit reversed.. Learn something new everyday.