Yo broncoboyerusa,
Suspect non-Motorcraft relays that mount to fender; esp. Chinese parts with sub standard metal contacts tyat are known to stick.
Disconnect the red/light blue wire's push-on connector from the relay. I assume you disconnected battery, so re-connect with jumper cables, but be ready to remove.
If it still cranks, then starter relay has stuck contacts.
Or remove all wires from relay and check for continuity between the two large posts where battery cables were attached,
Starter Relay pic in a 90
by ElKabong
Disconnect battery;
Check for battery voltage on that red/light blue wire with ignition switch off.
If it has battery voltage suspect ignition switch (not the ignition key's cylinder) or its actuator rod inside steeriing column.
Ignition Switch Mechanical Test
NOTE: Accessories that fail to operate with the key in RUN, or that remain on when the key is turned off, may be the result of a misadjusted ignition switch rather than a malfunctioning ignition switch. Refer to Ignition Switch in the Adjustments portion of this section.
NOTE: Do not apply lubricant to the inside of the ignition switch.
Test the ignition system mechanical operation by rotating the ignition switch lock cylinder through all positions of the ignition switch. The movement should feel smooth with no sticking or binding. The ignition system should return from the START position back to the ON position without assistance (spring return). If sticking or binding is encountered, check for the following:
burrs on the ignition switch lock cylinder
binding ignition switch lock cylinder
shroud rubbing against ignition switch lock cylinder
burrs or foreign material around the rack-and-pinion actuator in the housing of the ignition switch lock cylinder
insufficient **** on actuator
binding ignition switch
Ignition Switch Adjustment & Removal/Installation in 87-91 (from Factory Manual and the Ford Electrical & Vacuum Troubleshooting Manual (EVTM)
Source: by Broncobill78 (Dave) @
http://web.archive.org/web/20110909003616/http://broncozone.com/index.php?app=core&module=attach&section=attach&attach_rel_module=post&attach_id=6659
Ignition Actuator Removal & Installation w/Tilt Steering in an 85 (also applies to 80-91 w/Tilt;
Source: by Chris B (Blue, bronco boy) @
http://chrisb.users.superford.org/Bronco/Projects/Steering_Column/Steering_Column.html
Attached are two start system wiring diagrams for your 90 5.8 .. one with E4OD and one with AOD.