That also looks like you have 2.73's. you probably want to regear at the time, if you can find one for an amc20 a detroit truetrac is a better LS. you could also change to a locker or for a cheap out you could buy a new open carrier for about 60$. depends on what size tires, intended use etc....
The easiest way to check it is with the axle installed. Simply raise on tire and with the t case in neutral, try to spin it by hand. A good T loc will be very hard to rotate, A worn one will spin easily. You can try duplicating the process on the bench by installing the axles and trying to rotate the pinion. You will have to lock an axle down though. It can be done with the brakes installed and adjusted all the way out.
You can install one piece axles. Many manufactures require the axle spacer be removed and this is a good time to do that, so you might want to do some research on what set you want.
DD=Daily Driver=2.73's with Trac Lok. And as Jeepdaddy2000 suggested this is a good time to pull the axle spacer (aka thrust block) if going to 1 piece axles.
The clutch discs are on both sides in a Jeep Trac Lok unlike some 9" Fords that have them only on one side.
I had no idea my gear ratio was so low. Its a 81 Laredo with the factory 304 (last year in the cj7). I have been running 33's but then again i don't do much off roading and when its done it will see very little trail time. What's my best bet here? Do I clean and paint them and keep riding or do i spend a bunch of money upgrading and regearing. This build if getting $$$$$$
OK so I have a couple of updates. After several days of researching axels and gear ratios I went back down to the garage to find out what i was dealing with. The first thing I realized right off the bat was that i already have one piece axels. From what i can tell they are Moser axels ( M E stamped on plate). My research tells me that Mosers are a good set and i should be happy i have those already. Now comes the real shocker! I counted the teeth on the ring and pinion and was shocked when it came to 41 and 10. So it looks like i have one piece axels and someone has also swapped in 4:10 gears. I put up a couple more photos for you guys to look at to see if you could help me confirm.
Make sure you can move the thrust block left and right slightly. That would mean that the axles are not bound up against it. In looking at your pictures, It looked like the ring gear was pretty thick to be 2.73 but then, I didn't have anything to compare with. Good score!
Back to your trac lok. Hate to be the bearer of bad news, but they are junk. If yours isn't working properly, take the money you were going to spend on the axles and put it toward a different unit. Decide what kind of offroading your going to do and find one that suits your needs.