“And I will make my holy name known in the midst of my people Israel, nor will I allow my holy name to be profaned any more. And the nations will know that I am Yahweh, the Holy One in Israel.”
God's holy name, that is His own righteousness, purity and ‘otherness' will by all this be made known to His people. They will recognise Him for what He is and that the cry of their hearts has been fulfilled, and that evil has been destroyed (compare Revelation 6:10 - which was not so much a cry for vengeance as a longing for God's righteous judgments to prevail). The nations brought to judgment will also recognise Who and What He is, ‘the Holy One in Israel'.
‘The Holy One in Israel'. That is the One set apart from, and above and beyond all others; unapproachable except to those He calls; unique, all-powerful, and essentially righteous in all His dealings see Isaiah 57:15). And Israel is His dwellingplace (compare Isaiah 60:14). They are His temple. We can compare here ‘the Holy One of Israel' (2 Kings 19:22; Psalms 71:22; Psalms 78:41; Psalms 89:18; Isaiah 1:4; Isaiah 5:19; Isaiah 5:24; Isaiah 10:20; Isaiah 12:6; Isaiah 17:7; Isaiah 29:19; Isaiah 30:11-12; Isaiah 30:15; Isaiah 31:1; Isaiah 37:23; Isaiah 41:14; Isaiah 41:16; Isaiah 41:20; Isaiah 43:3; Isaiah 43:14; Isaiah 45:11; Isaiah 47:4; Isaiah 48:17; Isaiah 49:7; Isaiah 54:5; Isaiah 55:5; Isaiah 60:9; Isaiah 60:14; Jeremiah 50:29; Jeremiah 51:5) where the emphasis is on His might, His total superiority, and His purity and righteousness as judge.