Relocating of the Neutral Safety Switch

I just now placed an ammeter on the actuating coil of the starter relay. The maximum current measured while starting the car was a whopping 3.1 milliamps. or .0031 amps

I just found the specs on the magnetic proximity switch :
max contact rating:10w
(in case you are interested in the rest of the specs.)
max switching voltage:100vdc
max switching current:0.5A
min breakdown voltage:220vdc
max carry current:1.0A
max contact resistance:100mΩ
release time:0.1ms max
operate time:1.0ms max
Diameter :6.08mm

So it looks like my guesstimate is/was correct

BTW regarding the magnetic. I found that I need to cut the magnet in halves or quarters. The car wants to start in drive, so a smaller magnetic should help