Yes you will need an alignment after adjusting your strut top hat.
You can adjust the top hat yourself. You will need a second hand to help you. You will loosen up the 3 surrounding bolts (green ones) about half way out. Disconnect one of the endlink ends on your front sway bar. Then have a buddy push down on the knuckle to give you enough slack (the coil spring will keep everything tight), in order for you to shift the top hat. The top hat is lined with rubber, and so is the underbody, so if it feels tough to move dont panic. DO NOT TRY TO MOVE THE TOP USING THE 3 GREEN BOLTS! You will break the top hat nut that is pressed on, and have a bad day. Instead stick a socket on the strug lock nut (center nut), and just push down to give you more slack. Again you do not need to loosen that center nut, just push down on it.
When you adjust them, just make both sides match. So adjust both top hats inward toward the engine, or back towards the hatchback. There is not a ton of room for adjustment so it wont take much.
Take it to get aligned afterward. Any kind of suspension offset can be fixed/adjusted by shifting the subframe while they do the alignment.