We already knew
Of the 28 voters (two from each AL market), one had Johnson fourth and three put him fifth on their ballots for 5 total points, good for seventh place.
Johnson led the majors with 51 saves, which also set a new franchise record. But it's clearly still an award dominated by starters.
Here's the link to the full BBWAA results, if you care to see who voted for whom.
Combined, Price and Dickey made four starts against the Orioles, allowing just one run on 14 hits in 31.1 innings with 33 strikeouts.