One of the main issues with many shaders is that they do not recognise that Middle-earth has a longer day-night cycle, meaning that at noon the world becomes darker. You will also likely have to disable the Middle-earth sky in the mod's configuration. Most shaders are largely compatible with the LotR mod, although some features may not work fully (such as leaves for the mod's trees not 'waving').
6 Mods that Need Add-Ons to make Function at Full Awesomeness.