The difference is that relatively little hangs on the colour of an elephants skin. There is, however, something very special about a universe in which chemistry is possible, and for it to be possible, the fundamental constants have to have values very very close to those they actually do have. Much different, and either the universe wouldn't exist at all, having collapsed back in on itself shortly after the big bang, or, at most, we would have a universe full of hydrogen and helium and nothing else.
Now you can make what you like out of that. This argument is just going to keep going round and round in circles forever.