Seth,
Is it possible to remove the trafo without destroying the mic?
Sure it is, but I suggest you just bypass the trafo first and see how it sounds. Just disconnect the four wires(yellow, brown, blue and green)going to the trafo and tape the ends to prevent them causing a short. Then you have to connect the blue wire coming from the capsule with the brown wire of the mic-cable and the green with the white one. On the other end you should have a normal balanced wired XLR. Now the mic unplugged, if you measure between blue and green wire with an ohmic-meter, it should read about 50 ohms. That normally means, the capsule is 60 ohms. However, if it reads about 230-240 ohms, the capsule is then the so called 200 ohms one. This may be possible, because your second pic shows the humbucking coil, which suspiciously looks like of a 200 ohms capsule. The measuring or a sidewiew-pic of the capsule would clear that out.
To remove the trafo you need to unscrew the four retaining screws that hold the bass-chamber and then you can carefully tap the rear-cap loose and remove it. If you don`t want to use the trafo, you can just pull it off and the wires will be destroyed. then replace the cap tapping it back carefully and sealing it with glue. Now just attach the chamber on the capsule. That`s it.
If you want to save the trafo for some other purpose, you need to carefully solder the wiring loose before pulling the trafo out. That is very tricky, but can be done, if you know exactly what to do. I`d say, better leave it for someone more experienced to do.
Regards,
Esa