Ways of Redemption

A top student of Rav Kook, Rabbi Yaakov Moshe Harlop, wrote that the establishment of the State of Israel was the "beginning of the Redemption"...Rav Kook's son, Rav Tzvi Yehuda, also felt that way. My question is: On what do they base this?

Why does the Religious-Zionist public view the establishment of the State of Israel as part of the Redemption process, and why does the Haredi public object to the State institutions and hold that the existence of the State is not part of the process? On what sources is each approach based?