You aren't understanding what I need to do... Here is a better example...

difference
{
    union
    {
        cylinder{-x, y, 1 pigment{Red}}
        cylinder{x, -y, 1 pigment{Yellow}}
    }
    plane{-y, 0}
    cutaway_textures
}

This works fine, but I have actually found out that my problem is that 
instead of a simple plane, I was trying to cut the object with an 
intersection as follows:

difference
{
    union
    {
        cylinder{-x, y, 1 pigment{Red}}
        cylinder{x, -y, 1 pigment{Yellow}}
    }
    intersection
    {
        plane{-y, 0}
        plane{-y, 0 rotate<60, 0, 0>}
    }
    cutaway_textures
}

Rarius

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