Minato to defeat Deidara and Hidan, then either die to Kakuzu or flee before he's dead, granting kakuzu victory.
Minato has sufficient strength to behead hidan and teleport his head away, using up one of the flees. He has more than enough speed to dodge his attacks, especially with knowledge about his abilities. One mark and a beheading is all it takes.
Deidara was inferior to Sasuke in speed, and Minato is even faster. Minato marking Deidara is very plausible, before he can take to the air. Without Tobi, Deidara can't plant his mines. c4 is very tricky, but can easily be avoided by staying within kakuzu and hidan's range (unless Deidara sacrifices them, in which case Minato has to flee before he breaths in the nanobombs), and thus uses up his second. If Minato marks Deidara first thing in the battle and takes him out, he has a good shot at the match, but if not, it will be incredibly hard for him, Kakuzu+Deidara+Hidan's attacks, each fatal in their own right, is too much for anyone.
But I don't think he can defeat Kakuzu, esp if it isn't one on one. For one thing, the iron skin technique may be able to handle rasengan fairly well. For another, Minato does have a counter for Kakuzu's combination attacks, the space-time barrier, or avoid with ftg. but unless he can redirect the attack onto Kakuzu and cause havoc that way, he will overwhelm Minato eventually, forcing Minato to flee, or killing him.
