The thing is that you can't really compare an AK-47 to an AR-15. They are designed very differently. The AK typically has a shorter effective range than an AR-15 derivative, due to the construction and tolerances, which were design choices. As you said, they are totally different weapons, by design, and you can't compare the ballistics of bullets fired from them.
You may be able to compare a 7.62mm model in the AK-10X series, but I don't know much about them, beyond that one is chambered in 5.56mm NATO and they are composite constructs. As far as I know the M-14 and other Western battle rifles would provide the best comparison between the capabilities of the rounds (even fired from the same model, jsut rechambered wouldn't be great since you usually build the rifles different depending on the round).
Overall, I would say, it is complex and there are trade-offs and both large and small rounds have their place (though I wouldn't be surprised by an eventual move to an in-between rounds, say 7mm, the logistics of it would be a PITA). I suspect you will find higher quality troops leaning towards the large rounds (I recall reading that US special forces have a strong preference for the M-14 over the M-16), especially those that can take advantage of the better range and accuracy, while your average front-line infantry will stick with the smaller cartridges.
You may be able to compare a 7.62mm model in the AK-10X series, but I don't know much about them, beyond that one is chambered in 5.56mm NATO and they are composite constructs. As far as I know the M-14 and other Western battle rifles would provide the best comparison between the capabilities of the rounds (even fired from the same model, jsut rechambered wouldn't be great since you usually build the rifles different depending on the round).
Overall, I would say, it is complex and there are trade-offs and both large and small rounds have their place (though I wouldn't be surprised by an eventual move to an in-between rounds, say 7mm, the logistics of it would be a PITA). I suspect you will find higher quality troops leaning towards the large rounds (I recall reading that US special forces have a strong preference for the M-14 over the M-16), especially those that can take advantage of the better range and accuracy, while your average front-line infantry will stick with the smaller cartridges.