PC nailed it pretty much. Hate to be negative toward R&T, but using dish washing soap isn't a brilliant idea. Ivory is better than dawn, but buying a product made for the job is going to ensure it doesn't strip wax. Use something good like NXT (Meguiars) car wash.
The silicon problem is a myth too, to a point. Manufacturers use silicons in their products all the time as part of their product make-up but don't advertise it because of the negative connotations. Even carnauba waxes have it. Products labeled "paint shop safe" (or something similar) aren't supposed to have any silicons, but the reality is any residual "silicons" are removed in paint prep anyway, especially if the car is properly stripped. Already been through that with my Miata. They had to blend in paint on a door and the trunk - absolutely no problems, it looks like new and that car has had just about every popular wax product on it.
More to the original question though: is there something better than "ice"? You bet there is. Go check out the myriad of fine products available from places like
www.autogeek.net and take your pick. The perfect shine isn't a magic formula they put in a bottle though, as PC wrote, there's sometimes more to it.
I did a short essay on my efforts to restore the finish on our '87 Pontiac a few years ago, it's still on the forum
here. That was all hand-done.
Not that I'm particularly advocating this product, but as an experiment I polished out one of our airplanes a couple of years ago using Nu-Finish. Some people love it, some people hate it. It's cheap, been around forever, and you can get it at most drug-stores. I'm not sure I'd use it on my car but... anyway, this is our 1963 Twin Cessna, I think it was painted in the '70s. The paint is horrible and it spent most of it's life outside. I used a Porter Cable polisher with the stock white foam pad that came with it. Your '93 is probably clear-coat paint and you may not want to polish it much to avoid cutting the clear, but a little elbow grease might do wonders:
Before:
After:
On the fuselage I started at the front and worked my way back. You can see the difference here:
On another airplane that has horribly flat paint I tried Nu Finish again, by hand this time. This was literally a 2-minute job on this stablizer-tip:
Before:
After:
Getting the shine is hard. Keeping it is fun. FWIW I've used a number of things to prep my MGB but I've always finished up with a top coat of Pinnacle Souverän, it's absolutely to die for
