If the wings aren't solidly connected to the saw, you haven't made the connection correctly.
There is a piece of punched sheet metal on the bottom connected by a thumbscrew that has a spring. You have to hook the wing on the v-groove, loosen the thumbscrew, push the sheet metal piece all the way toward the saw, and then tighten the thumbscrew.
If you get it correct, it makes a very solid connection. If you get it wrong, it makes a false-solid connection that isn't solid at all. In fact, it's very sloppy.
Please let us know if that's the issue.
Tom