Wow-- what a fun staff to inherit if you're a veteran player.  Except for Song, they're all pretty darn good... Here are your problems:
1)  This staff doesn't have enough innings on it at 100%, so you're going to pitch worse than the ratings would indicate.
2)  Song isn't all that good.
3)  Tomko can't pitch in a four-man, and will need a fairly low pitch count to pitch in a 5.
4)  Hogan and Johnson both need short pitch counts.

First of all, put Robbins in the rotation.  28/65 DUR/ST is fine for 80-85 pitches.  Now you need a 5th starter quickly; you can either (a) sign a durable guy who's a bit better than Song-- there should be one or more out there, still-- or (b) see if someone will take 2 of your bullpen guys (one of whom would have to be Hogan or Johnson) for a durable, solid mid-rotation guy.  You'd be offering a better-than-average closer and a top-flight long reliever for an SP3; it's not unreasonable. 

Assuming the trade, this leaves you with the following set-up:
Rotation:  Gulan, Tomko, Robbins, (new guy), Song.  Tomko probably has to be set at 85 pitches.
Closer: whichever of Hogan or Johnson you don't trade.  Pitch count 10/10 for either of them.
SuAs:  the three of Ordaz, Kipnis, Landrum, and Gandarillas you don't trade.  Set them all at pitch count 35/45, and you'll have a LOT of games where Tomko and Robbins go 5-6 innings and one of two of your SuAs close out successfully.
SuB:  White.

Finish the staff by promoting Al McFeely from AAA to be the mopup.

Someone with experience in tandems could probably tell you how to make them work here, as well.