Interesting read on Augustine here:
http://www.goarch.org/en/ourfaith/articles/article8153.asp
You're quote from Romans is hardly explicit to indicate the concept of inherited sin as opposed to inherited will to rebel against God (sin). The Orthodox church reject the doctrine of original sin and the filioque of Saint Augustine. The Bishop of Rome holds to this doctrine.
I am not sure I understand your distinction between "inherited sin" vs. "inherited will to sin" If we are in Adam, we inherit his sin, just as we are in the Second Adam, we inherit His Justice. Or are you saying that we only inherit Christ's will to be follow Him?
What is the filioque of St. Augustine?
regards