The problem I see here is definitely a lack of speed. Personally, I would ditch most of the vehicles save for a bike to deal with enemy infantry if needed and run with a LOT more dark troopers and shoretroopers on forest worlds and darks + storms on everything else until you get desert and snow trooper equipment unlocked of course. Try to avoid deploying them all at once, instead opting to drop a dark to distract a group of turrets and flank each turret with a few storms. Timing their deployment acts as a substitute for movement speed, allowing you to attack anywhere on the map as long as any turrets that can cover that area are properly distracted. Only place one storm on each of the easiest buildings that are out of reach of turret fire and most of all, don’t be in a hurry! Either e at-at or red guard will work with this style of attack.