To be a pedant about it, I would say that climate change has been a problem, though a productive one, throughout human history. I read in the paper today that archeologists have mapped the farms and meadows men worked centuries ago which are currently ten metres below the north Sea.
Assuming you mean anthropogenic climate change, I say, I am not a scientist, but I suspect that it is cobblers (like eugenics was in the 1920s, despite winning the unanimous approval of the scientific community).
But granted that the scientific consensus is the scientific consensus, then I have to say that even that does not justify the alarming interpretations put upon it. None of the catastrophes that have been sketched out are well supported.
So, no, I am not losing any sleep over it, and will continue to tell my daughters that they should not believe in God, or Gaia, whatever they are told at school.