The idea that the current Egyptian regime is "US backed" or that it is significantly more "US backed" than Morsi's regime, is frankly not supported by reality.

The idea that the current Egyptian regime is "US backed" or that it is significantly more "US backed" than Morsi's regime, is frankly not supported by reality. US support for Mubarak's regime was always problematic but it was theoretically in service to the greater good of maintaining peace between Egypt and Israel (which lasted for decades). When Mubarak started murdering protesters the support of the US government for him evaporated rather quickly.