But for the time that you and your clone are alive, your clone is experiencing where it is, and you are experiencing where you are. Say you are in Sydney, and your clone is in Perth. You are conscious in Sydney, but your clone is conscious in Perth. This is an objective truth.
How do you know you would be the original? How would the other guy knows he is the clone?
The crucial point is that our identity is entirely in our memories and current sensations, ideas, feelings, perceptions etc. Considering current science, a clone would be immediately different from the original because even if absolutely identical down to the molecule as you assumed in the OP they would be located in different places relative to the environment so they would have at least different visual perceptions for example. So your thought experiment doesn't work if their initial locations are different. So, let's assume their initial locations are also identical, current scientific beliefs notwithstanding. Initially, we may assume they are in exactly the same state physically. Subjectively, they would also be in exactly the same state. Here it doesn't matter that we have two people rather than one. Within the narrow time window of the initial state, nobody could make a distinction between the two. Now, suppose one just stay put in Perth and the other move over to Sidney. Now they are different, both their brains and their minds are different because of the difference in their perception, sensations, ideas, memories etc. And they will be different as soon as one moves away. Now, given how the clone would have been created, how could anyone tell which one is the original, which one is the clone? Outside observers don't know and the two subjects don't either. Each is probably convinced he is the original but they would have no possible proof. If they are intelligent enough, they'll understand they may no be the original or better still, the question has no answer. Yet, they would be different. And this difference will be the cause for their minds to be different. One will conceive of himself as "me in Perth", while the other will conceive of himself as "me in Sidney". There're different. So again, your OP's assumption of them being identical to the molecule wouldn't work. Now, for the government to choose, randomly or not, one of them, you need this difference. If they were identical and in the same location, the government would say that there are not two people but one since they would be indistinguishable, and if they accept there are two people they could not choose one to sentence him to death. So you need one of the subjects to move away so they would become different to allow the government to sentence one to death. But then they would be different and again your OP's assumption is falsified.
It just doesn't work.
EB