You need to get that axle pulled/swapped asap. Your car thinks it's slipping basically 100% of the time since that axle isn't there and so you're gonna stumble really hard and work your diffs like they're doing a WRC. My advice would be to try to pull/reseat the axle if you can, you're probably grinding the side of the teeth down but if you pull it you can file them (or use a screwdriver to straighten them) and be able to maybe drive it out but best advice would be to get a napa replacement and swap it on the spot.