It could posibly be a bad transmission mount or a universal joint on the drive shaft or even maybe loose torque converter bolts
Sway bar bushings
Motorcraft MERCON automatic transmission fluid is used in a 2001 Ford Ranger 5 speed manual transmission ( yes - ATF )
According to the 2001 Ford Ranger Owner Guide : Motorcraft MERCON automatic transmission fluid is used in the 5 speed manual transmission
Motorcraft MERCON automatic transmission fluid is used in the power steering in a 2001 Ford Ranger
According to the 2001 Ford Ranger Owner Guide : Motorcraft MERCON-V automatic transmission fluid ( see if the type used is engraved in the dipstick to confirm )
Motorcraft MERCON automatic transmission fluid for the 5 speed manual - YES ATF ! Motorcraft MERCON V - ATF for all the automatic transmissions in a 2001 Ford Ranger
In a 2001 Ford Ranger the automatic transmission fluid requirements will be indicated on the automatic transmission fluid dipstick or the handle ( Motorcraft MERCON - V according to the Owner Guide )
I'm not a mechanic / technician but the automatic transmissions on a 2001 Ford Ranger would be electronically controlled , so there wouldn't be a modulator valve
A 2001 Ford Ranger typically uses Mercon automatic transmission fluid. It's essential to check the owner's manual for specific recommendations, as some models may require a different type based on the transmission. Always ensure you use the correct fluid to maintain transmission performance and longevity.
Sounds like the transmission
A bad transmission.
I believe the neutral safety switch is mounted on the side of your transmission