That's ok - we were all idiots at one time, and for some of us it wasn't that long ago!
Yes, those two shunt blocks you have can be pried out of the sockets, similar to how you would remove an eprom or other chip. That's the nice thing about a socket, no soldering. After removing the old shunt block you can insert a dipswitch in the socket. That way you can select whatever setting you want. On some circuit boards the shunt blocks are soldered to the board, no sockets. So you have to add a jumper wire to restore each broken shunt link.
But if you don't have a need to change the settings on the shunt blocks I wouldn't do anything. You might want to get advice from a Bally expert here to know for sure how to make the changes to the machine that you are wanting to do. I'm not familiar with your machine.
Have you seen something in a manual or posting that said you need to change the shunt jumper settings to do what you want to do? If so, it is easy to remove the shunt block part and install a dipswitch. Use a small flat-blade screwdriver to carefully pry up the shunt without damaging the socket or circuit board. Then install a 8 position dipswitch. The little metal legs of the dipswitch will slide down into the holes of the socket to make the connection. The dipswitch usually has numbers written on it, so I'd install it so that the numbers correspond to the jumper numbers, that would aid in making the setting you want. You can get new dipswitches for less than $1, sometimes several of them for less than $2.