With lasers, I don't think they will be here AFTER the LED's, but rather TOGETHER with the LED's.
Their only advantage (and at the same time a disadvantage) is, laser provide coherent rays. It come as an advantage, when you need precise beam control, as the area of the virtual source aperture is zero, so infinite brightness. So you may shape the beam whatever you like without loosing the light even with compact optics.
The disadvantage is, it bring qualitatively new effect, what could be quite disturbing: Interference artifacts.
And the fact, than most laser devices emit only one, single, wavelength, so you would need multiple of them, perfectly aligned, to produce a white beam for direct illumination for human visibility.
I know about one system using laser in car headlights: Laser illuminate the phosphor layer and the resulting white spot is then projected onto the road. The shape of the area on the phosphor layer illuminated by the laser form then the final beam shape. The main advantahe and in fact the reason for this approach was, it allow to shape the beam so, the lights on "high" have a dark "hole" in the beam just in the direction of an approaching car, so they could remain at "high beam" all the time without causing glare.
There are other methods for the same task (shields,
LED "PixelLight" ,...), the laser system allowed to use only simple miniature scan (simple piezo or electromagnetic actuators) so do all the movements.