I think what you have here is a soft-touch made for a Nikon F/F2 that uses the old Leica style system.
http://www.bhphotovideo.com/c/produc...r_Release.html

You need a different soft-touch button for the FM2/FE2/F3 and later cameras that screws into the hole for the cable release.
http://www.bhphotovideo.com/c/produc...r_Release.html

As others have pointed out - you do not remove the camera's shutter release.