Thanks to everybody for their advice. It got me on the right track.
I got that coupler installed today. I slid it back out, sprayed it with brake cleaner, then PB Blaster. It still wouldn't go on though, so I decided to try rotating it one spline.
I believe it went in as far as it did in my picture without the splines lining up correctly. When I rotated it slightly, it slid in by hand easy as pie in about one second.
But now I have one more question. There seems to be some minor slop in the steering. I read about adjusting the Worm Bearing Pre-Load in the Service Manual. That's complicated.
I think that with a GM you can just turn the adjusting screw on top clockwise to take up some slack. Has anybody done that and tightened up their steering?