Nope, Monte and Cutlass doors are different. They have the small upward curve to them near the mirror. Monte doors are straight across. Technically it will fit, but won't be right.
You need ones for either a Cutlass or a Regal, they are the same.
There were two different styles of sweep though. One for cars with the wide anodized aluminum (not stainless) trim on the top of the door, where the sweep is stapled to the trim, and the whole piece screws to the door. And one for cars without the wide trim with just a thin molded stainless bead that just screws to the door. So make sure you're ordering the correct kind. If you can't find original ones with the wide trim attached, you can get just the sweep, and attach it to your old trim. Or ditch the trim, and use the thin kind.
You will have to remove the door glass to get the screws out.