I agree with you on all points, except either you are unfamiliar with the Rothbardian meaning of the term "aggression" I am using here and have misinterpreted it to mean force, or you believe in a contradiction. I presume it is the former.
In as much as states act in either protection of property rights or leaving people alone, they are not aggressing. It is the monopolization of this power through abuse of rightful property, such as theft, fraud, slavery, kidnapping, et c., that sustains the state (in addition to the lack of personal responsibility and the gullibility of its purported citizens). This is why I consider states to be inherently antagonistic against the protection of property rights and to be in all cases worse than a voluntary system of property protection, all else equal.
Aggression means the initiation of conflict over the control of a property, be it your body, your brain, your house, your car, your privately guarded nsec, etc. This can generally be observed whenever consent is breeched, as a rule of thumb.