We do not actually see the rebuilt temple in 2 Thess 2. We do however see a temple in 1 Cor 3:16 Do you not know that you are God's temple and that God's Spriit dwells in you? I anyone destroys God's temple, God will destroy him. For God's temple is holy, and you are that temple. (This refers to the corporate body of Christ.)
And in Eph 2:19-22 So then you are no longer strangers and aliens, but you are fellow citizens with the saints and dmemebers of the household of God, built on the foundation of the apostles and prophets, Christ Jesus himself being the cornerstone in whom the whole Structure, being joined together, grows into a holy temple in the Lord. In him you also are being built together into a dwelling place for God by the Spirit. (Here we have direct allusions to the temple that stood as the center of worship in Jerusalem. It was what signified the presence of God with his people. Paul is dealing here with Gentiles who were alienated from God and the temple, and the ordinances and covenants of promise---11-18.
1 Peter 2:4-6 As you come to him, a living stone rejected by men but in the sight of God chosen and precious,you yourselves like living stones are being built up as a spiritual house, to be a holy priesthood, to offer spiritual sacrifices acceptable to God through Jesus Christ. For it stand in Scripture: "Behold, I am laying in Zion a stone, a cornerstone chosen and precious,and whoever believes in him will not be put to shame."
That is the temple we do see being built so there is no need or excuse really, to imagine another physical temple being built. It would have been just as easy to be direct about that, as it was to be direct about the temple in the above verses.
So you see, there are other ways of interpreting the passages in 2 Thess 2, so your interpretation cannot stand as the only one or even as the correct one. If the temple referred to is the Church, how would you interpret the passage?