First off - Rick Gore? Oh god, I think the forum has seen enough of him around here.....That tom thumb video just drives me INSANE. The TT is a poorly designe bit an isn't very nice, but it is FAR from the "worst bit around"
I would not jump to a port or a correction mouthpiece right away. I would get something with a barrel, like I said earlier with the billy allens or perhaps a Myler. They are quiet, and it allows the horse to have similar action while getting used to the leverage as well as a solid mouthpiece. However, you still have lateral flexion with the barrel joint.
Pssh.I didn't pick up the wrong lead
It's called a counter canter...
...A very advanced maneuver.