1)
How will He rule with "Yad Chazakah"?
1.
Malbim: Even though the revealed Hashgachah (to do open miracle) departed, and I do not put My light on you for good and Brachah, My kingship is on you to force you via punishments and afflictions.
2)
How will He rule with "Chemah Shefuchah"?
1.
Radak: He will eradicate the sinners and rebels.