I broke my June Taylor Shape Cut at the 12" slot about 5 years ago. I duck taped it back on, and it has continued working for me. You might give that a try. I broke it off on each side, so each side has duct tape. (I used blue duct tape...sort of pretty.

) You know, now that I think about it, I think I set it on the oversized cushioned chair in my sewing room and then I sat on it. I broke it really well....)
Some of my slots are flimsy too. Let me try to describe what I do, as I can't cut anything with just a regular ruler. I just can't.
Okay, pretend you are cutting at the 2 inch slot. I take a small regular ruler....usually the one that is 4" by 9". I lay that on top of the June Taylor, slightly covering the 2 1/2 inch slot, or even closer to the 2 inch slot. I just hold it down, sort of stabilizing it, before I cut. I think this has kept my June Taylor ruler alive. I guess any thing might work as a stabilizer, but I have lots of rulers, so I just use what is close.
Hope this is helpful.
Dina