I figured, for $10 USD, why not give it a try? Well worth it imo. It is turn-based with movement steps, firing phases, and you can even call in aircraft strikes and the carrier gameplay has multiple turns to ready and launch aircraft for strikes. You manually set gun range, elevation, bearing, etc. and it has some really cool mechanics that remind me a lot of WAS.
Also, for good note, the War on the Sea is under development by the same developers and will take place in the pacific, with some updated mechanics and graphics.
Update: War on the Sea is out now on steam. It is definitely a different breed of game compared to Atlantic Fleet, but same devs. I've still fumbling my way through the tutorials, but it is so far pretty interesting and also has put in some dogfight mechanics to an otherwise naval-based game.