The Gentiles were brought to this land by the direction of the Lord. They are on probation, but the land does not belong to them.
During Christ's visit to this land he told the house of Israel that this was their land. Quoting Isaiah he prophesied that after the destruction of the Gentiles the remnant would be established once again. He said:
"Thy seed shall inherit the Gentiles and make the desolate cities to be inhabited" (3 Ne. 22:3).
The Gentiles' cities will become desolate. The Lord will cause his people Israel to inhabit those cities. They will forget the shame of their youth (3 Ne. 22:4). They will remember their reproach no more (ibid.). The Lord had forsaken them, but will gather them in everlasting kindness (3 Ne. 22:7-8).
The waster will destroy the wicked, but no weapon that is formed against the Lord's people shall prevail (3 Ne. 22:16-17).