Same thing happened to me at the Atlanta airport years ago. But for the quick action of our pilot on the yoke and throttle we would have landed on top of another aircraft crossing our runway.
I had it happen in Honolulu - the Hawaiian Airlines L-1011 I was on had to go around maybe a mile from the runway and the first officer told the passengers that “the guy in front of us didn’t want to listen to what the controller was telling him.” It wasn’t a near miss, but from the exasperated tone I gathered it wasn’t an uncommon occurrence, either.
I was out and about in my motorglider just north of KCHA one day when I heard a KCHA female ATC clear a TN ANG C-130 and a C182 to land on the same runway at the same time. The next 60 seconds of radio traffic was harrowing to say the least. Never heard a word about it on the news, but apparently it was close enough that Fruit of the Loom stock went up.
Very similar to your experience I think, I was about an airliner many years ago that had to make a last second abort of a landing. This was in Albuquerque and was when I was traveling towards 50,000 miles per year.
The landing was aborted when about 100-200 feet off the ground. Seconds from touchdown, a military helicopter crossed in front after its takeoff from the apron.
With all the flying I have done, I had no idea a 727 had that much power in reserve. The pilot firewalled the throttle and pulled up to avoid collision. Another second and the plane was in a turn. A second after that, the wheels were sucked up. A few seconds after that the flaps were fully retracted and we were steeply climbing. Engines roaring, pushed hard into the seat first by g-force of the turn then by the acceleration. Things were under control now so the pilot got on the intercom to describe what was going on. Circled around then landed normally about 15 minutes later. Pilot and copilot fully earned their big $$$ that day.