I haven't done it on a Mustang so can't compare, but replacing the actuator on the Mark is not too bad.
The key never would work passenger side since i got the car.. really hard to turn the key.. After a few years the power lock stopped working.. After a month of living with that I got down and fixed it.
The progressively worsening actuator was the cause.
My hands are pretty big but i had no problem getting one in there. One is all you're allowed anyway..
Scope things out ahead of time with inspection mirrors and good lighting because you probably will be working blind once your hand is in there.
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From memory...
There's a white plastic clip that fastens the top of the actuator-rod onto the linkage. That clip can be "unclipped" from the rod and turned out of the way, while still being partially attached.
The rod's end is then free, and can be pulled out of the linkage.
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The actuator body is pivots (slightly) on two metal studs on the sides of the cylinder. These studs are capped with thick rubber grommets.
The grommets pop-slide in and out of U-shaped bracket cutouts .. a tight fit but they will pop out when pulled down hard. Doing that frees the actuator body.
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After about 6 (?) inches of actuator cable, there's a 2-wire plug that can be pulled apart. The cable/connector lies in the bottom of the door. I don't remember having any trouble disconnecting it.
I think the plug-socket and wires can be maneuvered near one of the door cutouts... Might have to disconnect a wire clip hold-down to free the cable.
Remove the actuator.
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A junkyard part worked fine on my car.. Pick n' Pull might have charged me $4 or so. I'm guessing that about 8 years and several Ford-Lincoln models use that same actuator.
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Reinstalation presents various minor difficulties, none of which can't be overcome with a little patience. Just keep your eye on the prize: Functional doorlocks