So he actually meant that Muslim nations hate the American government, which is consistent with the average Iranian opinion and not at odds with liking Americans in general.

President Obama said:

“The third source of tension is our shared interest in the rights and responsibilities of nations on nuclear weapons. This issue has been a source of tension between the United States and the Islamic Republic of Iran. For many years, Iran has defined itself in part by its opposition to my country, and there is indeed a tumultuous history between us. In the middle of the Cold War, the United States played a role in the overthrow of a democratically-elected Iranian government. Since the Islamic Revolution, Iran has played a role in acts of hostage-taking and violence against U.S. troops and civilians. This history is well known. Rather than remain trapped in the past, I have made it clear to Iran’s leaders and people that my country is prepared to move forward. The question, now, is not what Iran is against, but rather what future it wants to build.
It will be hard to overcome decades of mistrust, but we will proceed with courage, rectitude and resolve. There will be many issues to discuss between our two countries, and we are willing to move forward without preconditions on the basis of mutual respect. But it is clear to all concerned that when it comes to nuclear weapons, we have reached a decisive point. This is not simply about America’s interests. It is about preventing a nuclear arms race in the Middle East that could lead this region and the world down a hugely dangerous path.”

Ayatollah Ali Khamenei, Spiritual Leader of Iran, response to the President Obama’s speech:

It insisted that development of nuclear bomb is forbidden under Iran’s brand of Islam. He reiterated that Iran seeks only to generate electricity. He referred to a religious edict, or fatwa that he had issued at least four years ago in which he declared that the production, stockpiling or use of nuclear weapons was prohibited under Islam.
Khamenei said: “Our nation says we want to have a nuclear industry”. “We want to use nuclear energy in a peaceful way. However, the West and America say that the Iranian nation is seeking to make a nuclear bomb. Why are they telling lies?”
“The Iranian government and nation have repeatedly said that we do not want nuclear weapons. We have announced that according to Islamic principles, the use of nuclear weapons is forbidden. It is dangerous to keep nuclear weapons. We are not seeking to have them. We do not want them.”

Mr. President Obama, may I respectfully submit the following proposal for confronting the issue of potential nuclear weapons proliferation in the Middle East.There is no dispute that Iran is already a nuclear state. The states with this capacity are many; among them are Japan and Germany. But, there is a great difference between being a nuclear state, i.e., nuclear fuel cycle capacity, and a state with nuclear bomb, such as India, USA, Russia, England, France, China, Israel and Pakistan.

The steps required to allay our fear that Iran in the future may develop Nuclear Bomb are:

1. Nuclear Fuel Cycle Iranian Consortium:
USA should join the consortium among others Japan, Germany, France and England to actively monitor the Iranian fuel cycle activity too. IAEA has consistently asserted that the agency could not find any indications that Iran is diverting the fuel cycle for nuclear bomb development. Iran has asserted that their activities are limited to development of fuel for nuclear reactor.

2. Nuclear Shield
An international nuclear shield for all nations in the Middle East, including Iran and Israel, from nuclear bomb states;

3. A nuclear- bomb-free Middle East
This action will remove any pressure from Iran to develop nuclear bomb in the future for deterrence against nuclear bomb Israeli state.

Unfortunately the attentions of the past two US Presidents (Clinton and Bush) were on nuclear fuel cycle of Iran. They both ignored that Israel had nuclear bombs. The Middle East should be the starting point toward your dream, Mr. President Obama, of a world free of all nuclear bombs.