Thank you for your research, Nachum. In your efforts did you see any additional material on the son, Rabbi Zvi Yehuda Kook, the object of this Jerusalem Post article?
Rabbi Abraham Isaac Kook was one of the leading intellectual and religious leaders during the yishuv period. Born in 1865 in Latvia, Kook received a typical traditional education, which he supplemented with a range of other studies. Kook advocated the expansion of the traditional Jewish educational framework to include secular subjects. The yeshiva which was founded on this principle was called Mercaz ha-Rav, and is still open today. Kook settled in Erez Israel in 1904, where he served as rabbi of Jaffa. When the office of Chief Rabbinate of Palestine was established in 1921, Kook was chosen to become the first Ashkenazi Chief Rabbi. He believed that the establishment of the Chief Rabbinate was the first step towards the reconstitution of the Sanhedrin. Convinced that the return of Jews to Erez Israel marked the beginning of the Divine redemption, Kook participated in a range of Zionist activities. In his view, the Zionist movement emphasized only the material needs of the Jews, while the spiritual aspects of the nationalist movement were neglected.
Kook's philosophy was based on the quest for unity and harmony in the world. The two fundamental principles he stressed most were Emunah and Ahavah, belief and love. As such, he embraced secular as well as religious Jews. According to Kook, secular Jews also have a distinct role in the Divine plan. The secular Zionist's return to Erez Israel was an essential step in bringing on redemption. Their return to religious observance would come later, in a step-by-step process. Kook's tolerance of secular Jews made him quite unpopular with more radical Orthodox rabbis.
Kook's approach brought the somewhat mystical concept of redemption down into a more concrete reality by interpreting current events as heralding its arrival. No longer just a dream, redemption was on its way with the resettling of the land. This view was expanded by Kook's son, ha-Rav Zevi Judah ha-Kohen Kook. He saw the victory of the Israeli army in 1967 as further proof of imminent redemption. The victory was seen as a sign for Jews to resettle additional areas of the traditional Land of Israel, thus bringing redemption closer and closer.
http://www.wzo.org.il/home/portrait/kook.htm
He may only have been the "son of" Rabbi Abraham Kook - the first chief rabbi of Palestine and considered the spirit of religious Zionism - but he turned his father's abstract and somewhat metaphysical teachings into a political ideology, which serves as the basis for the right wing and settler movement. I would argue that this assertion is not true. The more probably truth is that both the son and father were activists. The establishment of the Balfour declarations and the creation of the original colonies in Israel (by the father) were hardly different than the support of the settlers in Judea and Samaria (by the son).