Thanks everyone!

I agree. The ground strap was replaced. I use the type that are simply braided wire, without insulation. I also use a copper grease/paste at all ground connections to prevent corrosion. I try to use the grease wherever practical for positive connections, also. I learned this trick from a boating buddy.
I'm near the ocean-everything corrodes quickly without it.

The slide hammer with the 3-point gear puller worked fine for gripping the housing. No issues with the tool. I would recommend it's use to anyone as it really helped. It did not damage the housing in any way.

The housing was coated with Anti-Seize prior to reinstallation. I don't think I'll need the slide hammer again. At least not on this car!

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Vehicles 1968 250SE;4 speed manual on the floor, no marker lights