Because of Obito and Kakashi are in the other dimension now, they will probably miss Minato..
I wanted to see Minatos reaction so bad..
It raises quite an interesting possibility that Minato would be able to confront the person who destroyed his family, and that he would finally learn the true fate of his student Obito. There's also a chance that we will learn about what mission he was on the day Rin died.
I suspect there's a twist waiting in this story somewhere. We obviously don't know everything (where Minato was that day, what forced Kakashi to kill Rin, what happened to Kakashi after he woke up, etc). The biggest twist, obviously, is that Rin might still be alive somewhere (and maybe Minato's mission was to protect her, while Kakashi killed a clone or something). I don't know if Kishi is going to go that far, but it's obviously one of many possibilities.