Peace in the ME is not very likely, certainly not soon. Here are some articles on the varying degrees of difficulty faced by both the U.S. and Iran if serious negotiations go ahead.
"While the congressional playing field is not entirely clear yet, one thing is obvious. Obama is going to need support in his peacemaking efforts. That support will need to come from the U.S. public and he will need to know that he has it in order to counter what is sure to be a furious onslaught from the most powerful forces that oppose any normalization with the Islamic Republic. That onslaught is coming and it is going to be furious. Obama will also need support from Iran, of all places. Rouhani will need to maintain the positive face he is portraying. And Rouhani should not be alone in this endeavour. Iranian Foreign Minister Javad Zarif, apparently recognizing that Rouhani had not gone far enough in distancing himself from Mahmoud Ahmadinejad’s Holocaust denial, has made sure to unequivocally acknowledge the Holocaust and its horrors. However prominent one thinks that issue should be, the clear statements were obviously intended to forestall the use of that issue against progress in upcoming nuclear talks." Mitchell Plitnik at Lob Log
And this from Tehran: "Yes, a shoe was thrown at Rouhani upon his return from New York City from a group of about 50 or so male demonstrators. But there were more supporters than detractors. It is also true that the intractable Hossein Shariatmadari of Kayhan has found 5 "lamentable" aspects of Rouhani’s trip and performance (including the way the President answered the Holocaust question, his reference to Israel instead of the Zionist regime, and of course, the phone call). But he has also had to defend himself against the charge of sounding more like Bibi Netanyahu than the Leader’s representative to the state-run newspaper." Fahrideh Farhi also at Lobe Log