Who determines who's an enemy combatant? That's always the core issue. We should not trust the man behind the curtain to always tell us who needs to be killed by a drone with no trial.
Nope, that's not the core issue. The core issue is what constitutes an "imminent threat".
If they are not an imminent threat then there is existing international and domestic laws that should be followed (i.e. arrest, extradition, trial, evidence, lawyers, etc).
If they are an imminent threat then there is existing international and domestic laws that should be followed (i.e. it's ok to shoot and kill someone who is trying to light your house on fire - it should be ok to drone them too).
The whole citizen/noncitizen debate was a rhetorical construct created by Rand Paul to show the moral outrage that is droning someone who is not an imminent threat.