While I understand your logic, I disagree. We are guilty because, like Adam, it is in our power not to sin yet we find ourselves unable because we are unwilling. We look to ourselves and not to God, to our desires over God's will. Christ had the same natural desires of the flesh but submitted to the will of the Father. The difference is not natures but obedience (an unwavering faith in God).
Part of this I agree when taking the “we” as believers. For believers actually have both “natures” in which they may freely make dominant. Much of Paul’s imploring is concerning that “conversation” lived out.
What is not accounted is that unbelievers are in no such condition. The ungodly do not because they cannot. Their rebellious condition that is evident from even before birth is lived out in all manner of failed attempts to live “good” and “doing right.”
Christ did not have that will of the first Adam, that rebelliousness of human nature passed down from the fathers, but of that which was of Himself. Where we are “drawn away” by our own desires of the fleshly will, Christ would not be. What we experience as believers (fullness of Christ dwelling in us richly) only in part will be that fulfilled in the the new body where “we shall be like Him.”