1996 e150 5.8 One click is all starter does.

U need 12 volts to solenoid small screw, there's a big screw that makes it spin and voltage on the small screw makes it engage

Like comment above suggested, check grounds, and a voltage drop test will check that starter is getting full voltage and not losing anything to bad/loose wires/terminals.

Thanks everyone. As I was checking the terminals and grounds and the rest of the wiring, I found a bad connection to the solenoid.

Glad you found it, Thanks for telling us.