Need help identifying some sort of "wire"
I think it may be something like FFC/FPC cable, which is often used nowadays for PCB connectivity.
It's not the easiest stuff to hack being very delicate. Some is made a bit tougher and intended for e.g. hot bar soldering but I think not the type shown in the photo.  

Is it flexible?

You may be able to make a connector/switch from a couple of bits pf PCB, depending on the tools available to you. I have etched an connector a few times for soldering display FPC connectors to, but it's not the easiest and this is a bit different anyway as mentioned above. You want something that clamps onto the contacts. 

For more of the cable, look on Digikey/Farnell/Mouser/RS etc, for FPC and FFC cable (and connectors, and similar speakers (look at datasheets and they will usually say what connector to use). You may find something you can hack into what you need, or maybe even some ready rolled switch with the required connections (though I am not aware of any, will update if I find something)     

I do think this will be very difficult to accomplish, but it's always fun to try :-)

The pitch (space between contacts) looks pretty small - what is it roughly? (hold a ruler with mm markings beside to judge)