It may or it may not, there are 2 types of threads on the AK, the early ones had a standard US Diver thread (custom for USD) , the later ones had a metric thread. Which you have I can't tell just be looking at the photo .
To be honest, unless you have a really good reason for DIN, just stick with the yoke. Also, please understand diving a DH reg, new or old is different than diving a single hose reg. Proper reg placement in relationship to your body is very important. Most modern BCs do NOT work well with them due to less than ideal reg placement. Worn correctly the AK is unbeatable in performance, it out does Scubapro and Atomic but only if set up and dove correctly. Worn/setup incorrectly it won't harm you but it's performance can suffer greatly unlike a single hose reg that doesn't care how it's placed. Spend some time hunting information and learning about diving a DH reg, they are great, mostly what I dive but they are different. There are a number of us on this board and a couple others that have a lot of time diving a DH reg, ask questions.