A "one-state solution" is just another way of eliminating Israel. Either there would be a demand up-front to change the name of the state, to change its flag, and to eliminate its character as the Jewish State, or in a relatively short time, Palestinian population growth would assure them numerical hegemony, and the political ability to do all of those things by taking over the Knesset from within. Either way, the Jews get screwed, and end up without a homeland.
No, if there is a solution to be had, it involves there being a Jewish State of Israel, and a Palestinian State, and most likely, some nice safe fences between the two.