For better or worse, America has its hands all over the place. It isn't a relationship that can simply be ignored.
I don't think American actions have to make things worse. I thought the response to the trouble in South Korea was pretty effective.
Also, aside from the governmental relationship, there is a very significant military relationship. The Egyptian military's budget contains a pretty sizable chunk of money from America. So, not only does their military have an interest in paying attention to American concerns, America has an interest in not seeing F-16s and M1 tanks being used against civilians. it matters, because ultimately, I think it is the Egyptian military that will decide what happens over there.
As for me, I think the world is a small place and that they are my neighbors, and my hope for the Egyptian people is that their tomorrow is a brighter day.