Unity Normal Problems (Importing an object from Blender 2.8b)

I had a complex model that I created in Blender 2.79, and imported (with some tweaking) successfully to Unity 2018 a few months ago. When I switched to Blender 2.8 and Unity 2018.2, I found big problems with my model. Blender 2.8b tells me that all the normals are exactly what I expect — the blue shows all the normals are pointing outside, as they should. But these 2 screenshots…

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Lonely Among Us (TNG Rewatch, Season 1, Episode 6)

Conflict between two species who petition for membership in the Federation turns out to be the B-plot. On its way past a mysterious optical special effect, the Enterprise picks up a strange glowing spark via the sensor array, and as such entities tend to do in Star Trek, it starts wreaking havoc. We get a lot of exterior shots of the ship, some alien character designs that would have worked better in background shots, a glimpse at a sensor relay room we’ve never seen before (though it’s pretty obviously a redress of Engineering), and some glimpses of the Crushers at home.