The glide ratio of a clean 737-800 is 19.5:1 (modern hang glider). With the gear down it's 7:1 (paraglider). With gear and flaps down it's down to 4:1, just slightly better than a wingsuit!
If in fact, they lost both engines, they made the RIGHT decision to fly it in clean! The proof is that they easily made it to the runway.
When learning to fly a sailplane, one of the maneuvers one practices is to land the glider without spoilers. In fact my test ride involved this procedure and I had to fly a similar pattern to the one the Jeju flight executed.
As taught, I used a sideslip around the pattern to bring the glider down quickly and aimed for the area before the threshold since a long glide due to ground effect was to be expected. My glider at the time had a 35:1 glide ratio, and I flew the pattern and landed it at 60 knots on an 8000 ft runway. I used up most of it. The Jeju pilots attempted the same maneuver coming in at 160 knots on a runway with similar length!
Assuming that they lost or had little power on both engines, they may have made two mistakes:
1) They landed far down the runway because they were never agressive with a sideslip to bring their 737 down early.
2) They chose the runway over the ocean or beach they had next the airport, underestimating the importance of ground effect at 160 knots on an aircraft with the glide ratio of a modern hang glider.
Capt. Sully chose an endless runway - the river for landing. And he chose the river over a possible return to an airport because he had glider training. Interestingly, he used a flaps 2 configuration for landing, decreasing his glide ratio by only 4 points, but allowing him to slow down the plane to 121 knots. I suspect that once he had the river made, he extended the flaps. Note how his concern was not only making it to a long (very long) stretch of something (runway or water) but at what speed he approached it.
Perhaps we should reconsider the training requirements for all airline pilots to include a glider rating.
We have two very different outcomes with regards to lives in these two bird strike incidents.