One thing is certain ...

We can not encourage/allow the Egyptian military to be disbanded, we learned that lesson in Iraq. We should guarantee their salaries if necessary.

As far as your point, the healthiest economy in Europe at current is Germany. But lets be honest, even after 70 years no one wants to hear the phrase, "German troops are on the march." The UK is the only viable force projection amidst the EU alum, but PM Cameron, despite being a conservative,is new & unlikely to commit security forces while still trying to justify Afghanistan & Iraq. That leaves the US. Fortunately we have excellent military to military relations with Egypt. With the support of our carriers a "trusted" general overseeing a transition may be our best course. This allows for a more organized change of government, while lessening the possibility of a fundamentalist take over.