I already explained how the thing that makes the consciousness continuous doesn't transfer over to the new body. It's not magic.
Really, all of this philosophical posturing is pointless. When you step into the entrance of the transporter, the entity that experienced stepping into the entrance of the transporter does not experience stepping out of the exit. If that entity is successfully deconstructed, it dies.
Assuming we're talking about Star Trek/The Prestige style transporter. Some kind of space-bending wormhole that physically transports a body doesn't kill the user.