I wouldn't do either until you got better shocks for the car, especially for Autocross. It will help with the sway of the vehicle, but sway bars are used for fine tuning of the suspension, not to solve inherent deficiencies. If you get the car in a slide, or worse a tank slapper, results could be disastrous. This was NOT a stock vehicle designed for this type of work; it's a great car, but not for this in stock form. When I first got mine, I thought about keeping it stock so I ran it ONE event to see how well it would do in HS. After just run run, I parked it and finished up the event in a MINI on proper struts. No way I'd get back in the 2 without some work on the super soft suspension. I decided right there STF was where it needed to be to keep the car shiny side up. I tried the CS struts on the stock springs, was better, but still not enough to keep the car SAFE. Then a few calls were placed to Koni about inserts in the stock strut housings. Could be done, but lots if custom fab work to get there. STF was the easy button, and a reasonable spring rate (300/250) will still make the car very livable on the street, and give you an ultra competitive regional car, that's safe to take out a on course.
If you are serious about Autocross or track days, start with the suspension first. Don't fall into the trap of nice wheels and sticky tires. Once again, others have done it, but I've been doing this 20plus years and seen my share of cars like this on their lids. Although no serious injuries came out if them, still not a fun sight to witness.
Sorry to keep preaching this, but high CG cars are getting a lot of bad press lately and I certainly don't know want to see more cars get on the exclusion list, nor do I want to see good kids ( like a lot of you on this forum) get their pride and joy upside down because of bad advice. Years ago it was Omnis,Saturns and yes even Civics. Now it's Fits, Fiestas, Mazda2s and Fiats. Let's keep the rubber side down and have fun..