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Everything in Buster Olney's piece makes sense. http://sports.espn.go.com/new-york/mlb/news/story?id=5366254
They want to sign Lee anyway, so acquiring him now saves them a draft pick.
Keeping him from the Rays puts them in a much better position in the three-to-make-two AL East + Wild Card.
Keeping him from the Twins and Rangers puts them in a much better position once the playoffs begin.
Keeping him from any NL contender puts them in a better position in the World Series.
And they consider Montero to be surplus.