The neutral safety switch on a 1998 Dodge Neon is located on the
transmission. It's not easily accessible without some disassembly. You'll find it near where the shift linkage connects to the transmission. It's typically a small, cylindrical switch, but the exact location and appearance might vary slightly depending on the type of transmission (automatic or manual; and even the specific automatic transmission used).
You should consult a repair manual specific to your 1998 Dodge Neon to pinpoint its precise location. A Haynes or Chilton manual would be a good place to start. Trying to locate it without a diagram can be difficult and may lead to accidental damage.