O_P_T
Why Be Normal
Almost all ideas have been ones that I thought "yeah, that would be really cool!"
Yours is the only one where I would NEVER want that and would be terrified if it existed in real life. Tearing me apart into my component parts and rebuilding me? No thanks!
We already know from Riker and other transporter "accidents" that it's very possible to make 2 of someone, and for both of them to think they're the "real" person. So fundamentally, if you walk into a machine thinking it'll spit you out elsewhere, and you find yourself elsewhere, all from your perspective seems fine. How do we know, though, that the thing that pops out of the other side is truly you, and not some entirely new being that carries with it your mind, experiences, personality etc?
What if upon using a transporter you are utterly destroyed, and some new thing walks around in your life wearing your skin and mind, with no one the wiser? That to me seems like the FAR more likely scenario, and it would be impossible to ever truly know, as the original creature would not still be around to complain about it. If a transporter existed, I just know that I sure as hell would never use one.
Actually, that's how it is supposed to work.
When you step into the transporter, it scans you to "record you" and sends that information to the other end where a "new you" is created by applying that pattern to a different group of atoms.
The "original" you is deconstructed to the constituent atoms to provide the raw material to create an object when someone/thing "beams in".
Think of it this way.
Take an object and put it in a 3D scanner.
Take that data file created by the 3D scanner and send it to a 3D printer somewhere else.
Have the 3D printer recreate the object.
You've just "beamed" the object to the other location.
Oh and don't ask where the atoms come from to create the new you when you are beamed down to a planet, or where the atoms go when you're beamed up. That's a big hole in the explanation of how it's supposed to work.
Edit: I won't even go into the issues with how much data it would require to fully characterize every single atom in your body so it could be reconstructed accurately or that according to Quantum Mechanics and the Heisenberg Uncertainty Principle, you probably can't measure all the properties sufficiently accurately to recreate "you" from other raw material.