I have pinned the fur collars onto tweed jackets and the denim as well and worn without a scarf. The fox ones from MaiTai had loops sewn inside so you loop the scarf through. It would not be difficult to put them into your MiuMiu scarf.
Oh I didn’t realize maitai had made the fox collars for sale at one time. My mink scarf has a loop on one side on the back (to loop the other side through), so I would only have to pin it on one side. It is a longer normal length mink scarf though, not a collar unfortunately. I wonder if it would still work.