One doesn't imply something about the other. Nor does it imply that everybody in Israel thinks in that fashion... just that the people in charge of the levers of the state do. Clearly those folks in the article you cited have been honest with themselves about it and agree with me.
Don't forget, naziism is in large part about using the power of the state against undesirable people in violent ways. How is what they're doing to Gaza materially different from what happened in Europe in the thirties?