As Reuters reports:

U.S. Secretary of State John Kerry said a speech by Iranian Supreme Leader Ali Khamenei on Saturday vowing to defy American policies in the region despite a deal with world powers over Tehran's nuclear programme was "very disturbing”.

The leader – and his followers – like to take to the streets and bellow “Death to America,” “Death to Israel” when they feel like blowing off a little steam.  One has to wonder if Kerry was really surprised by Khamenei’s saying

"Even after this deal our policy towards the arrogant U.S. will not change.” 

Other nations, who have up-close experience with Iran, were not and have “… accused Tehran of interference, alleging financial or armed support for political movements in countries including Bahrain, Yemen and Lebanon.” 

But:

Kerry said the U.S. believed its Arab allies had the ability to confront Iranian interference in the region. "I think President Obama's belief and our military assessments, our intelligence assessments, are that if they organise themselves correctly, all of the Arab states have an untapped potential that is very, very significant to be able to push back against any of these activities," he said.