It has happened to me also with a 2005 machine. I am reminded of a gas pedal in an automobile that is stuck. Even when you take your foot off, the machine is still going. My local sewing machine store fixed the problem. I don't know how, but I did get my same pedal back a few days after I dropped it off for service. It didn't cost anything. Trust the machine warranty and authorized dealers.
I wouldn't cut cords and try to 'jerry rig' something together.
Let us know how it pans out for you!