I'm assuming you mean even when in gear, the light is on?
Most likely not related.
The neutral light comes on from the neutral switch going to ground (providing a ground). So if your light is always on, there's a short somewhere downstream of the light. I'd start by disconnecting the switch and see if the light goes out. If it does, the switch is most likely shorted internally.
If the light stays on with the switch disconnected, you'll have to chase the wire back to the light and find where it's shorted or wired incorrectly.
Have you looked in Tech or did a forum search? Something sticks in the back of my mind that you need to switch two of the wires at the relay connector..... 'though I'm not sure if I'm remembering that correctly.