If I had more time to reply, I'd do a proper one.
I haven't had an S2000 since 2010, but I think this is all relevant. I used by CoG and WIM and my wallet still hurts from the £Thousands I spent on suspension stuff for my S2000.
First things first, you want to focus on just getting what you have right now working correctly. Don't throw parts on expecting results as, how you want a car to handle isn't how I want it, or anyone else. The response a car gives will be different to everyone who drives it. Someone might want something more responsive and 'tetchy' on the limit so he can do lots of control inputs, but other people will want something calmer. Neither is wrong, we aren't talking about a car you are striving for tenths of a second off on a qualifying lap. We're talking about a fast road and odd open pit track day car.
I spent my first money on getting the suspension set up right. I'd got seized bushes all over the place, and my castor bushes at the front and toe bushes at the rear had split. I replaced the rear toe bushes with power flex polybushes - this removed some rear wheel steer - and Mugen bushes in the castor. You can't buy separate replacement bushes from Honda, you have to buy whole new arms, so this was the best option for me. I had a 'standard' setup put on by Chris at CoG after he'd done that work, and just made sure everything pointed the right way, with tight left to right tolerances.
Once I'd done that, got used to it, and done some track days, I decided to firm things up a bit. I went for a full poly bush, Cusco Front and Rear lower braces, Cusco front upper brace, and Cusco Front (32mm) and Rear (30mm) ARBs. The difference was incredible. I had a go kart.
I decided I didn't like the high ride height after a while, and went for Tein replacement springs with the standard Showa dampers. This made things a bit harder day to day over bumps, but otherwise, it was great.
All through this, I had various return visits to WIM where I explained how i felt the car handled, and said how I wanted it to behave differently, and they made the changes. It used to be you paid for an alignment and then got several return visits included for adjustment included.
I would strongly urge you against doing anything other than 'making good' what you have to start with. A properly aligned S2000 is unrecognisable from one that is poor. The change in performance and confidence is phenomenal.
Sorry for the blah blah post with poor layout, brain dump whilst I have 5 mins.