Jamieson, Fausset and Brown on Isaiah 65:15

15. curse--The name of "Jew" has been for long a formula of execration (compare Jr 29:22); if one wishes to curse another, he can utter nothing worse than this, "God make thee what the Jew is!" Contrast the formula (Ge 48:20) [Maurer].

my chosen--the elect Church, gathered from Jews and Gentiles, called by "another name," Christians (Ac 11:26). However (see on Is 65:13), as "My chosen," or "elect," in Is 65:9, refers to the "seed of Jacob," the believing Jews, hereafter about to possess their land (Is 65:19, 22), are ultimately meant by "My chosen," as contrasted with the unbelieving Jews ("ye"). These elect Jews shall be called by "another," or a new name, that is, shall no longer be "forsaken" of God for unbelief, but shall be His "delight" and "married" to Him (Is 62:2, 4).

thee--unbelieving Israel. Isaiah here speaks of God, whereas in the preceding sentences God Himself spake. This change of persons marks without design how completely the prophet realized God with him and in him, so that he passes, without formally announcing it, from God's words to his own, and vice versa, both alike being from God.