I'm sure there'll be enough 'meat' where the rivets were to get something to grip.

I bonded a sheet of alloy with tapped holes onto the back of another metal badge.
That badge was originally a 1960s Lancia grille badge. Similar to the one that Andreas did a newsletter article on, only I kept the original ring part and just carefully ground the whole lot down to almost the right thickness. That one originally had a shield round the outside. (see photo)