Here's what I did on my Eclipse GS-T and the results if it helps:
Strut tower braces F&R: marginal, but it helps with the huge hole in the back because of the hatchback design. Came from a 300ZX Turbo which was stiff as a board - no frame flex. GS-T was like driving a bowl of Jello by comparison, so it helped to have even a small gain.
MATCHED set of sway bars: big difference, especially when switching back & forth L to R. Tracked better on those sweeping flyovers - not a Z, but better. The Z could be set into a turn with little steering input, GS-T still requires constant corrections, but better. Helped a lot with lean.
7.5" wheels & big ol' hog tires w/soft compound: BIG difference, mainly on how fast and tight you can turn. No effect on lean. Switched to cheaper, harder tires due to quick wear and cost, work almost as well.
Balls-out shocks: BIG difference, really planted it to the ground, much more predictable handling. Beats me half to death, but now it goes where you point it regardless of road condition - no surprises. No effect on lean, but help on quick maneuvers. Shocks only come into play during a change, not in a constant condition like a long turn.
So I'd go with sway bars first, then wheels and tires. No one is going to race a Cube so the rest is not that important.