I wouldn't do much of anything to that mic. Says right there that it's a 797 mic, and it looks to me like all the caps that one would normally change in the Shoeps circuit are already polypro or similar.
You could spend $200-400 on a capsule, but the one in there is not too bad. If you don't like the sound of it, it's just not the mic for you.
If you need to do some soldering and want to learn, I understand that, but get a used MXL or something and learn with that. You'll hear a bigger difference in the changes you make. The MXL 2003 that Gus mentioned has this same capsule and circuit, but the components are not as nice, and it sounds good with an upgrade. You can get an older one used for not much, and the mods are easy. When you are done, you will have something very similar to this mic.
I just modded a Nady SCM 1000 that has a Shoeps circuit. They did a pretty good job of putting better components in it, but sure enough, two of the caps in the signal path were tantalum. I changed those to polyester (.68uf instead of the original .22uf ) and the two in the capsule to gate position (it's multi-pattern) to 1500pf polypro, and now the mic sounds much better, even with the original capsule. I even made some recordings of Ac. Gtr. to prove to myself that I wasn't imagining the changes.
Thanks for taking the time to put up photos...that's my 2 cents.