Be careful around the monitor neck. And also, discharge the monitor unless it has been off for at least a week. If you don't know how to discharge the monitor, or are too scared to do it, then un plug the machine, and wait a week.
Handle the monitor by the frame and you will be fine.
Since you game is a conversion, your wiring harness is going to be pretty much worthless. I wouldn't bother trying to save it for ebay. Instead keep the wires and connectors to use for yourself.
Also. Building a Tempest from an empty cabinet will probably cost about 50 to 100 percent more than buying a nice working Tempest. (That is pretty much true for any vector, as tested working vector monitors usually sell for about 70-90 percent of what the game they go in is worth).