The phrases "lift himself up" and "make himself great" mean the same thing and indicate that the king will become very proud. (See: [[rc://en/ta/man/jit/figs-doublet]])
This phrase pictures God as storing up his wrath until his storeroom is completely full of it and he is ready to act according to it. Alternate translation: "until God is completely angry with him" or "until God is angry enough to take action against him" (See: [[rc://en/ta/man/jit/figs-metaphor]])