In the film Waterworld, they have a device to purify urine - you crank the handle - but funnily enough they aren't using the device to clean seawater. Just another plot hole...
There's a large desal plant in Florida too, it supplies part of the water that I drink. You're right in that it's energy intensive, but at least in our part of the world the largest problem was water quality. There's a lot of biomass floating around in sea water and it means having to constantly repair the filters. I believe there was a big issue with an invasive species of mussels as well that do quite a bit of damage.
The pacific is worth mentioning too...Singapore in particular, and Australia increasingly so. A handful of southern US states are getting things ramped up too.
It's not salt but brine - water with a high concentration of salt. If put on land it would kill all plant life excepting a few highly salt tolerant species.