Miami is not going to go all fire sale on the league and sell of every major piece they have, not unless they want a very upset Stanton and Christian Yelich who both recently signed long-term extensions with the club, so let's get that idea out of our minds but that does not mean that the team won't sell off a few pieces at this year's trading deadline. Unless this team starts going on a run the team may want to start selling off some of their impending free agents while the team continues building towards the 2016 season, 2017 seasons and beyond. That list of players includes RHP Dan Haren and Mat Latos along with outfielder Ichiro Suzuki and Prado.
Haren and Latos presumably do not interest the Yankees while Miami seems unlikely to trade Ichiro if they plan on bringing him back for the 2016 leaving Prado as their main trade piece. The Yankees have an obvious need at second base and seem unwilling to call up top second base prospect Robert Refsnyder leaving the team two options, ride it out with Drew or to make a trade. Adding Prado for cheap would allow the team to give Headley regular days off at third base, Drew a full-time bench position and Teixeira regular days off while adding another right handed bat to the lineup with playing in New York experience.
It probably won't happen and honestly I don't know what Miami would even want in return but it couldn't be much with that much salary and two months left on his contract.