I seem to recall reading somewhere that the mineral Cyclops glasses/visors are made of does indeed absorb the energy of his eye beams. When he closes his eyes the energy slowly diffuses out of it.
Muadib basically covered the rest.
DC comics actually has a character called Steeljacket who is a slightly more "realistic" version of Angel. He was a bird-human hybrid with hollow bones who had to wear a special protective suit because of how fragile they were.