Using a Tekken 4 stick's PCB in a Dreamcast stick?

Sup all, I have a shitty Hori Tekken 4 stick that I hate, and I bought a Dreamcast official fighting stick for like 400 yen in a thrift shop.

I want to use the wires from the T4 stick into the DC stick so I can play using a ps2 converter, do I have to use some soldering or something?