DEFINITELY get some sway bars under there first.

I had just Kings in my car, then I put in a rear sway bar...made a world of difference.

After that, all at once, came the front sway bar, sway bar links, underbody brace, anti-lift kit, steering rack bushes, diff bushes, fender braces, etc etc...made a world of difference.

I then put the coilovers in, and it made a big difference again.

In my opinion, its the logical progression....go the alignment gear first, then put in the coilovers last. You can still do a motorsport event with just a set of lowered springs, plus all the alignment gear. Coilovers arent a necessity.