Under the New Covenant, a building can no longer be referred to as the house of God. Since the veil in the Temple in Jerusalem was torn in two top-down, God does not dwell in temples built by men’s hands.
I’ve heard respected Christian leaders tell people that the best way to serve God was to join a group in a denominational organization and be active in meeting the needs of the ‘house of God.’ That’s a fallacy.
The NT place of worship is not the equivalent of the OT tabernacle, temple and synagogue. God’s house in this dispensation is the Church. Christ is the head of the Church and “the body is not one member but many.” Grace, not circumcision, qualifies to be fitted into the Body but works will determine the fitting location.
44 Our fathers had the Tent of witness in the waste land, as God gave orders to Moses to make it after the design which he had seen.
45 Which our fathers, in their turn, took with them when, with Joshua, they came into the heritage of the nations whom God was driving out before the face of our fathers, till the time of David,
46 Who was pleasing to God; and he had a desire to make a holy tent for the God of Jacob.
47 But Solomon was the builder of his house.
48 But still, the Most High has not his resting-place in houses made with hands, as the prophet says,
49 Heaven is the seat of my power, and earth is a resting-place for my feet: what sort of house will you make for me, says the Lord, or what is my place of rest?
50 Did not my hand make all these things? (BBE)