So, there has been a lot of talk about alternating initiative. Namely, one turn one player has initiative and the next the other does.
This is complicated, and while some methods of tracking who has initiative, how do you account for bids? Should you be able to bid and get something?
Why not just alternate activations per ship at a particular initiative level. So, if we have two players, each with 3 ini 5 ships, the player that won the bid would move second overall, but it would alternate ships. Player 1 moves an ini 5 ship, then player 2, then back to 1 and so on. This is the way some other games I've seen do it and it creates another layer of strategy.
If you have a ship that wouldn't be engaging for a turn, it could move first and give an advantage to your other ships. Choosing who moves when will add more strategy without over complicating the game.