I am not sure where you guys get your LED's, but I have a totally different experience.
As far as not powering them from household current, there are gobs of 110v/AC LED lights. For peanuts I bought a rope light to help guide a disabled person with poor eyesight down a hall. Uses little current and is not hot. Has been on 24/7 for a year and a half now.
On my boat I have several 12v bulbs with LED arrays inside that replaced tugnsten and halogen bulbs in reading lamps.
For area lighting I have three lamps that take full sized screw base bulbs (12v), shades have wires that clamp onto the bulbs just like household lamps. At 12v the tungsten bulbs use either 15 or 25 watts. Couple years ago I replaced them with 12v CFL's that used about a third of the current, although it was difficult to attach the shades. But at the boat show this month I bought "warm light" LED arrays inside a screw base bulb, that uses a fraction of the current of the CFL's (and the shades attach properly

).
Recently, at Lowe's I bought an LED array desk lamp. It has an array about 5" diameter and is powered at 12v/DC from 110v/AC through a little transformer. Great reading and map light! Cost $25, and I wired it directly into my 12v boat system.
My anchor light was replaced by an all around white LED array. And the tricolor has 3 separate sectors of white, green, red arrays.
There is not a large current draw for all those LED lamps in my boat. In fact it is a mere fraction of what the tungsten & halogen lamps drew, and much less than the CFL's drew. I can turn everything on and the needle on the panel's meter barely budges a smidge.