Sorry, I just woke up. Here are some step-by-step instructions:
(Remember for this process to work, you need the same version of the game this patch was made for:
http://redump.org/disc/33619/
^ That is the redump listing for the version I used. If your iso matches that one, it's the correct one. i.e., (USA) SLUS 209.95)
Download and unzip my patch.
Go here and download, xdeltaUI and unzip the archive:
https://www.romhacking.net/utilities/598/
Double-Click xdeltaUI.exe(NOT xdelta.exe!)
Make sure you are on the 'Apply Patch' tab and you should these three prompts with buttons after each:
Patch ... Open
Source File ... Open
Output File ...
Click the 'Open' button next to Patch and choose my patch.
For the Source File, choose your original game iso.
Output is the patched file that will be created. Click the '...' to give it a name and choose the folder where it will be created.
You could name it King of Fighters 2002 (USA) (No Stage Music).iso or something. Just remember to give it the .iso extension as that is the extension of the original file. (xdelta can patch many file types, not just .iso so always remember to give the 'output' the same file extension as the source file.)
Now you are ready to create the patched iso, so click the Patch button at the bottom!
Although my patch is only 13kb, the game is 3+ gb so it could take a min or two for the new patched file to be created. It took between a 60 to 90 secs for me. Just leave the program alone. When it's done, a msg will pop-up saying "Patch Sucessful" or something similar.
I hope this helps. Let me know if you get it to work.
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Btw, you mentioned posting links above; don't post links to actual isos or downloads. That's not allowed here. It's OK if you're posting a link to a website like redump.org that just has information about the disc, though.
I *might* be able to make a patch for the Jap version too, if the stage music is stored the same way as the US version(I'm sure it is). I might take a look at it sometime, but I'm not gonna make any promises.