There are MANY things that make a car handle better than your Explorer.
And likewise, there are MANY things that you can do to make your Explorer handle more like a car. Just keep in mind that the same upgrades can be done to a car, and it will make that same car handle better.
First and foremost, Replace every wear part in the front end. Ball joints, Tie-rods, and Radius Arm Bushings. Upgrade the Sway Bars. Explorer Express has their X-spec Sway Bars for the 1st Gen for just under $300. I just installed them, and I highly recommend them. Get some new Shocks in all 4 corners. I bought some Bilsteins last year. I would buy them again in a heartbeat. Last but not least, replace the rubber swaybar link bushings with Energy Suspension's Polyurethane Bushings.
I have done all of the above, except the SwayBar Bushings. They are on a severe back order of 3 more weeks to go!...
Now my 19 year old Explorer handles better than any brand new Luxury SUV....Granted I have about $1,500 in my Suspension, and about another $1,000 in my Brake System.....but I also don't have the car payment that comes along with a new Luxury SUV!
Ryan