A bugeye 20mm will help with overall balance, though, since the front is 19mm. Good bang for 20 bucks.
A more expensive (and more effective) alternative is to replace both bars. I'm looking at Rallitek 22mm front and Cusco 22mm adj rear bars. I figure the combo will help front grip, and let me adjust rear balance for street and autox.
As far as front grip goes, there are some options available - such as anti-lift kits and front roll-center adjustment kits - that will definitely help but unfortunately bump you into SM at autox since they alter suspension geometry. . . and the only SM-competitive RS that I've seen is Cory's.
And you really don't have to go as far as coilovers to get better handling. A good spring/strut como would do you just fine for daily driving and autocross.