The editorial, titled "Would the U.S. allow Tehran to enter the nuclear club?" said Israel was hesitant to discuss the option of allowing Iran to have a nuclear weapons program.
The paper said: "Being fearful of Iran as a member of the nuclear club would exclude the military option; Israel is hesitant to discuss the matter."
The paper said the U.S. hesitation to coexist with Iranian nuclear weapons could push Israel to carry out a solo military attack against Iran.
The paper said if the United States is unable to coexist with a nuclear-armed Iran, it would announce a clear policy that uses the threat of nuclear weapons as a tool to gather intentional support.
"Israel has the defensive and strategic capability," it said. "If this capacity was supported by the U.S., it will form a serious reaction to a threat coming from Iran."
The paper said one of the most important methods of increasing U.S. protection for Israel was a "written document" or "presidential statement" establishing a U.S. obligation to secure and defend Israel. The paper said when the U.S. officially guarantees the protection of Israel, Israel will be under the protection of the U.S. nuclear umbrella.
"Iran, then, will realize that any threat against Israel will be a threat against the U.S. and that Iran will face serious destruction if the latter attacked Israel," the paper said.
The paper also said that an agreement between the United States and Israel would prevent Israel from acting on its own to threats from Iran.
"Israel is concerned that an agreement with the U.S. obligates them to reveal Tel Aviv's interior strategic capacity of their nuclear program," it said.
It said Israel fears that the United States would be incapable of fulfilling its obligation when a crisis takes place.
"Despite the fact the U.S. is faithful in fulfilling its security obligations, there were exceptions as the U.S. abandoned its NATO allies during the Cold War," it said.
The paper said a regional security approach, based on the United States establishing security guarantees for the Middle East, could give Israel and the United States stability and lessen the anger resulting from granting only Israel security guarantees.
The paper said countries such as Saudi Arabia and Syria would refuse involvement if Israel is among the countries included in a security approach. It said the best solution for the United States was to announce a clear obligation to secure the region from nuclear weapons without specifying Israel.
The independent newspaper said such an option could solve U.S. diplomatic problems with Arab countries and might be acceptable to Israel as well.
"A change in the Israeli nuclear ambiguity tactic could be a method to respond to Iran's nuclear capacity," the editorial suggested.
The paper said nuclear potential in the hands of a moderate government in Iran will not be as serious a threat as the lack of a strategic plan to change the current Iranian government.
It said an encouragement of the peace process in the Middle East could be a way to stop the Iranian influence in the region and to close the gap between Israel and Iran. The paper said a positive development in the peace process could harm Israel indirectly as Iran is connected to Hamas, Hezbollah and Islamic Jihad.
It said that a development in the peace process was unlikely to satisfy Iran and might create more interference.
"Neither Iran nor Israel is ready to reform their policies toward the peace process," the paper said.