Manual transmissions are a bit of a pain for Remote start
You must leave the transmission in Neutral when you exit the vehicle
So must have a working Parking brake that can hold the vehicle in place
The clutch switch is not a "neutral" switch, it is a clutch pedal position switch, it is often called a "neutral switch" because when the clutch pedal is depressed the shifter position of transmission doesn't matter because engine and transmission are disconnected by the clutch pedal being down all the way, which is "neutral" is a wider sense, lol, but not "neutral' in a gear sense
In a manual you would NOT use the clutch switch at all for remote start, its there to prevent Driver from activating starter motor without depressing the clutch pedal while turning the key to START
Remote start doesn't "turn the key"
And Remote start can't depress clutch pedal
So Remote start would connect to starter circuit after the clutch switch to activate starter motor, and relies on YOU to make sure transmission is in Neutral
Ranger's with manual transmissions never had a neutral switch on transmission, some early Explorers did, and I have read about a few 1990-1995 Ranger that had these earlier M5R1 transmission with the neutral switch, rare, but I wouldn't try to find one a swap out yours, lol
Better to use the Parking brake switch
There is a Parking brake pedal switch which is a Ground switch, its wire is grounded when parking brake pedal is down, with key on this would turn on the Red Brake Light on the dash
I would find a way to incorporate this ground into the remote start, and MAKE SURE the vehicle can't move when Parking brake is applied
That way if you did leave transmission "in gear" and tried to Remote start, vehicle would lurch and stall and NOT drive away, lol
Just a heads up
Parking brake cables can get water inside
Most of the time people want Remote Start for colder climates
When you set the parking brake after getting home all is well
After sitting 8+ hours in the below 32degF temps the water in the parking brake cables WILL freeze
You will be able to remote start and get engine and cab warmed up
But when you try to release the parking brake...................one or both will NOT release because cable(s) are frozen, usually drivers side because no exhaust pipe to warm things up on the side
Many who have had this happen once never use parking brakes in winter again, lol
The water gets in where the 2 cables attach to the 1 cable that goes into the cab, so outside frame rail under drivers seat area
Check the seals on the ends of the cables they prevent water intrusion while driving
You can spray WD40 or silicone lube into cable ends which will displace any water and also lower freezing point of remaining water