In reply to henwardian:
According to Wilfrid F Simms' 1999 booklet Railways of Skye & Raasay (ISBN 1 902822 30 X) the section running NE-SW roughly parallel to the track and the Lealt River is "well preserved with a quite substantial embankment above the river". It also says that the stretch after the point where it crossed the track and swung westwards towards Loch Cuithir is "well defined and clearly visible despite the state of the encroaching vegetation".
As a 2ft narrow gauge mineral railway it is unlikely to have looked anything like what is shown in the OP's picture. According to Simms the line was worked manually and with horses from 1890 to 1906, when it was re-laid with heavier rails and gentler gradients to allow a small 0-4-0 locomotive to be used. According to an unsubstantiated story that locomotive "fell in to the river in 1910 and was left there".
The original diatomite mining operation had totally ceased by 1914, but was re-started in 1937, again using the narrow gauge line for transport to the coast. It seems that the track was lifted for the whole length of the line some time during or after WWII.
There is a more well-known defunct narrow gauge railway on Skye, which carried marble from the quarries near Kilchrist below Bheinn Shuardail to the pier at Broadford. IIRC there is a walking trail that follows the line of the railway, and there are quite a few railway-related remains scattered about the Kilchrist area.
In the late nineteenth century a couple of proposals for public carrier light railways on Skye were floated. The Highland Railway's scheme of 1897 involved a line of 14½ miles from Kyleakin via Broadford to Torrin, as an extension of the Stromeferry to Kyle line. The second scheme, which was associated with the North British Railway's line on the mainland to Mallaig, involved a line from Isleornsay via Broadford, Sligachan and Portree to Uig, with a branch to Dunvegan. Surveys were apparently carried out for the 70-odd miles of this 1898 scheme but, as with the Highland Railway's scheme, nothing ever came of it.