This report reveals how both sides, the Egyptian military establishment (SCAF) and Mursi's Muslim Brotherhood, are beholden to US Empire directors with both appealing to the latter for support. SCAF, of course, won.
April 24, 2013, Egyptian Defense Minister Gen. Abdel-Fattah el-Sissi reviews honor guards during an arrival ceremony for his U.S. counterpart at the Ministry of Defense in Cairo. El-Sissi, born in 1954, appointed commander in chief of the Egyptian armed forces since August 2012, replacing Field Marshall Mohammed Hussein Tantawi. He is the chairman of the supreme council of the armed forces and the minister of defense. El-Sisi graduated from Egyptian military academy in 1977 and had masters degree from US army War College in 2006. He was appointed Commander of the Northern Military Region-Alexandria and then Head of Military Intelligence. [Source]
This is what one would expect if one understands the modus operandi of Empire directors: they always secure relations to the military of targeted countries by supplying them with weapons, sponsoring training junkets, and promoting activities which strengthen social ties between the target country's military officers and their counterparts in the US (see this, this, and this).
Although Empire directors have found the Muslim Brotherhood very compliant in supporting Empire interests in the Middle East and therefore backed the Mursi regime; when push comes to shove, their fundamental commitment is to their fundamental power base--the military establishment.
See also "How the Muslim Brotherhood Views the Crisis" from Muftah.
Now the question remains, what post-coup strategy will the Empire directors pursue--the Salvador Option or the management of another election to bring some other US puppet to power (see this)?