We discussed a bit further back that the move/shoot box would work best if you could drag it around with your finger. Then you tap it again to confirm and fire. That way you don't need to have separate buttons, and you don't have to worry about being a tile or two off with your big fat stubby finger since you can drag it around for precision. Tapping elsewhere on the map would only move the move/target cursor, not actually move the unit.
Try out PocketUFO if you want to see how that works
Basically:
-Drag scroll on the map to move camera around. I don't think it should be two-finger scrolling, since some devices don't have multitouch support. Maybe there can be an option for scroll buttons/zones on the edges like PocketUFO?
-Swipe from unit to a direction to turn unit. Would work best if tiles were colored to show the new FOV before letting go of the unit
-Tap selected unit to make move box appear, drag/tap to move cursor, tap cursor to move unit
-Tap gun icon as usual to make shoot cursor appear, drag/tap to move cursor, tap cursor to fire. (Since there's no right click, perhaps a 'Cancel Aiming' option could be added to the firemode menu)
And as for long presses, it's either that or a more cluttered screen due to larger buttons. You could just use the original UI, but then it wouldn't control very well on a phone at all. I don't think the UI rework would be hard, at least if all the buttons are contained within the space of the original HUD. It would just have to be hardcoded, I think, since I don't believe the UI is externalized.
Anyway, I wouldn't have much hope for this going to iOS anyhow. It would be nice, but how would this go in the App Store unless new game content was made from scratch? Unless you can somehow make a deal with Firaxis or whoever owns the IP now to sell the game data with it as well. There's always jailbreaking, but I think that's a tiny fraction of people compared to Android users.
How does the Home button work on iOS anyways? Does it always close the application or does it work as a menu/back button in some apps? I don't have an iPhone so I can't confirm. I don't know what Android devices don't have a menu button, though...