The Brotherhood sometimes delivers conflicting messages, depending on its audience. There are also ideological and generational divisions within the movement, with older leaders like Badie often seen as more conservative.
The Muslim Brotherhood doesn't recognize Israel and at least officially its members refuse to hold direct talks with Israeli officials. But Morsi has said that he will abide by the terms of Egypt's 1979 treaty with Israel, and many members say they are in little hurry to enter into armed conflict with the Jewish state.
Badie declared that "jihad is obligatory" for Muslims. But he also said that taking up arms would be the "last stage," only after Muslims achieved unity. "The use of force and arms while the group is fragmented and disconnected, unorganized, weak in conviction, with faint faith this will be destined for death."
In the meantime, he called on Muslims to "back your brothers in Palestine. Supply them with what they need, seek victory for them in all international arenas." Badie's title General Guide of the Muslim Brotherhood also implies a leadership role in the Islamist group's sister movements across the world.
Under the deal, Gaza's ruling Hamas is to stop rocket fire into Israel while Israel is to cease attacks and allow the opening of the strip's long-blockaded borders.
The Hamas-Israel fighting was the first major international test for Morsi, who was caught between either supporting Hamas, one of the Egyptian Brotherhood's sister movements, and Cairo's regional and international commitments.