I believe the neutral safety switch is part of the Transmission Range (TR) sensor which is located on the left side of the transmission. It could only need an adjustment. I'll let someone else with more knowledge comment further.
Disconnect battery ground cable.
NOTE: When the battery has been disconnected and reconnected, some abnormal drive symptoms may occur while the Powertrain Control Module (PCM) relearns its adaptive strategy. The vehicle may need to be driven 16 km (10 miles) or more to relearn the strategy.
Raise vehicle on hoist.
Disconnect electrical harness from Transmission Range (TR) sensor.
Remove two retaining bolts.
Remove TR sensor.
Make sure manual control lever is in NEUTRAL position.
Install TR sensor and loosely install retaining bolts.
Align TR sensor slots using TR Sensor Tool T93P-70010-AH.
Tighten retaining bolts to 7-10 Nm (5-7 lb ft) and remove tool.
Connect electrical harness to TR sensor.
Connect battery ground cable.
Check for proper operation with parking brake control engaged. The engine should only start in PARK or NEUTRAL.
Thanks to _JWKO_ for the great information.