It might be a very simple fix - terminals 2 and T should be connected together. If you connect your wire only to terminals 1 and 2, only the woofer operates. Actually, the labels on the back will tell you what to do. Of course, they also tell you to keep your grubby paws out of the innards of the speaker...clearly, they had no idea of who their eventual owners would be.
Otherwise, you may be running into problems with The Pots. Two pots (actually rheostats) control midrange and tweeter levels. Both have a well-deserved reputation for getting all kinds of crapped up. Fortunately, you can easily open them up and clean them. Unfortunately, many times they're just shot - for example the midrange pot often suffers from a burned-out electrical contact on the wiper arm of the pot. You can get new Ohmite 15 ohm replacement rheostats for a mere $21 - each. That'd be $84 for a set of four. It'd pay to get busy cleaning.
The Classic Speaker Pages has
wiring diagrams for the AR-2ax, plus a
manual on restoring the AR-3a, which is similar enough to the 2ax to be very useful information. And there's information on The Pots - refurbishment and replacement.
IMO, AR-2ax's are a real "I dunno" proposition. I think they can be massaged into a speaker that does very well on female vocals. It'd help a lot if I could have actual working mid/tweeter controls; as it is, the previous owner of my speakers put in a voltage divider network, set at the dead center of the pots' 16 ohm resistance.
I thought a replacement tweeter would help, but I ran into an interesting feature of these speakers - the mid/tweeter crossover point is pretty high, at 5 KHz. Since I am now officially into the "old fart" demographic, that's perilously near to the upper frequencies of my hearing, so it doesn't make a huge amount of difference.