Bob, these clips do not grab the plastic faceplate. The notches in the plastic are only for clearance for the clips. Install the plastic faceplate into the back of the chrome trim and make sure it is flush on the front of the trim. Use some masking tape to hold it if necessary. Then position the chrome trim in situ on the radio frame and push the tabs inward with a pick or small flat screwdriver twards the center of the radio while pushing the chrome trim twards the radio. Being that your clips appear bent outward near where they are riveted, there is an arch to the area that should be straight. This may be affecting their overall length.
Looking again at your photo, it appears the frame where the clips attach with the rivet is also bent/bulged.