You can try to use a 2' ratchet strap around the axle and bumper. Remove whatever is in the way of pulling the bumper and axle together...like the sway bar linkage. You may be able to do it without removing the wheel but I have not tried that myself. If this works, you can then use a small jack to put the arm in the right spot to allow the arm to fit back in the hole while SLOWLY releasing the strap tension. You might want to practice that first before removing the arm all the way.
If that won't work for you, search for " rivet removal" and do what works best for you. Once I have the rivets out, I use a step drill with the biggest diameter of 1/2". It makes quick work of drilling the holes and leaves a really clean and ROUND hole exactly 1/2" in size. then use 1/2" grade 8 bolts that have a non-threaded shank sightly less than the thickness of the metal that you are bolting together. If you have to, use washers to make the bolt work. IMO, you don't want to use bolts that are threaded all the way to the head as the shear strength is not as strong.