I would agree with Glen that teleportation processes have absolutely nothing to do with the uncertainty principle.
However, I do not agree that the "teleportation processes" were simply just experiments proving the GHZ hypothesis. There was indeed teleportation of some form (the meaning of this teleportation as that defined by Charles Bennett in his seminal paper). This teleportation obviously does not defy any physical laws; it involves the teleportation of a quantum state (information) across space. Recently, Hotta proposed and studied a scheme for the teleportation of energy as well.
It may help if I briefly describe Bennett's standard teleportation protocol. Using the standard communication terminologies, we have two characters Alice and Bob. Now, Alice has a particle prepared in a certain state unknown to her, and she wishes to communicate that information to Bob, giving him a replica of that particle state. Trivially Alice can give the particle to Bob directly, but there may be reasons against that. (for instance, if the quantum channel that I am about to describe has already been set up, it is far easier to "teleport" the state)
To establish the quantum channel, Alice prepares another two particles in an EPR singlet state (ie the two particles are entangled), and sends one of the particles to Bob. She then performs a joint measurement on the initial particle and her channel particle, entangling the three particles. The measurement will cause the system to collapse into one of several possible states, and destroy the entanglement. Based on her results, Alice has to communicate classically with Bob such that he can perform the appropriate recovery operations (Pauli rotations) in order to turn the state of his particle into the original one Alice had. As such, the particle is not physically teleported across space; it is the information, the state of the particle that is teleported to another particle.
Refer to: C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W. K. Wootters, Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels, Phys. Rev. Lett. 70, 1895-1899 (1993) for more information.
Now, in the quantum realm, particles are indistinguishable. We cannot for instance, tell two free electrons apart. So, in order to "teleport" humans, we need humans to be decomposed into indistinguishable entities loaded with "states" that make us who we are. Then, we will have a quantum channel comprising two such entities and your state is teleported from your originally occupied entity to the one at the destination. Even ignoring decoherence and the fact that you are a classical object, this sounds rather ludicrous to me.