For light bullets in short barrels, yes, there isn't much difference in fact, recoil should be a good deal less for a 124 grain 9mm+P over a 125 grain .357 magnum.
For heavier bullets 140 grains and over, though, the .357 has the edge...IF you are willing to tolerate more recoil. Of course, recoil depends on the weapon, a seven shot 2.5 inch L-frame is tolerable with 158 grain .357s, but a j-frame sized snub nose is a different story!
Here are some fairly representative numbers, no problems getting 1100 fps from a 158 grain bullet in a 2.5 inch barrel at least.
9mm+P - 115 grains, 1300 fps, 431 ft-lbs, power factor 150.
9mm+P - 124 grains, 1250 fps at best, 430 ft-lbs, power factor 155.
9mm - 147 grains roughly 1000 fps, energy 325 ft-lbs, power factor 147.
.357 - 140 grains 1185 fps, energy 436 ft-lbs, power factor 166.
.357 - 158 grains roughly 1100 fps, energy 424 ft-lbs, power factor 173. (Although 1150 is certainly not unheard of, 460 ft-lbs, power factor 182.)
The 158 grain .357 magnum loads have roughly the same energy as 9mm +P 124 grain loads from a short barrel with a bullet that has 27% more mass and 10% more momentum overall. Those ballistics are significantly in the magnums favor. At longer distances, the heavier bullet will likely hit harder, too, as the 9mm loses velocity.
I don't know how a 180 grain .357 would do, although, I think it would be interesting. Of course, I don't think those bullets would expand well at snub nose velocities.
.38 Super would be better chambering for a short barrel revolver than 9mm. Generally, a conversion to .38 super will allow a revolver to fire .38 super and 9mm. Here some real world Ruger 9mm LCR numbers...
http://www.gunblast.com/Ruger-LCR9mm.htm
Short barrel .357...
http://www.snubnose.info/docs/38-snub_vs_357-snub.htm
Ruger .357 LCR numbers
http://www.personaldefenseworld.com/2012/11/ruger-lcr-357-mag/2/#198-ruger-lcr