I think many of us have trouble dealing with life to begin with when we get sober, and may of us find we're depressed due to the sudden loss of alcohols artificial euphoria..
Some of us who never had depression before find the balance is redressed quickly, and many people grow into ealing with life sober -
Others, especially those with a history of depression that predates drinking, may need a little therapist or doctor input and help.
I know you're reassuring us the thoughts aren't serious but suicidal ideation is not normal - I hope you'll consider making the time to see someone if only to talk it out GS.
D