I don't think the Next Generation 737's has this issue to the same extent the 320 does. The 737-700 has a range of a good 1000 or so miles longer than the A320. I think Jetblue's 320's have a range in the 2700 mile area, while the 737-700 has a 3800-ish mile range. JFK-LGB is just under 2500 miles.
But, the head winds will take their toll on the 737 as well. Westjet flies a 3500-mile range 737-800 from Vancouver to Hawaii (2700 miles) and has had to make the odd fuel stop in San Francisco on the westbound leg.