To be honest, the Q-level powers in Trek always made me a little uncomfortable. In a purely mechanistic universe, it feels correct that there should be things that are physically impossible, which constrains stories in a satisfying way; not allowing dramatic conflicts to be easily disposed of as if by magic. For a deep-space exploration ship to stumble upon one or two godlike aliens can be interesting, but at this point the galaxy seems packed to the gills with species so absurdly powerful it's not really that interesting any more.