It says quite clearly that David pitched a tent for the ark.
1 Chronicles 15:1
And David made him houses in the city of David, and prepared a place for the ark of God, and pitched for it a tent.
And, the Bible tells us that David plunks the ark down in the middle of the tent.
1 Chronicles 16:1
So they brought the ark of God, and set it in the midst of the tent that David had pitched for it: and they offered burnt sacrifices and peace offerings before God.
And, the offerings and sacrifices given before the ark are not the elaborate affair of the Levites in the tabernacle of Moses--but a much more casual affair. This is where the idea of the three-sided tent comes from, the ark is there for all to see, sitting in the middle of the tent. And they are in front of the tent setting up their burnt offerings.
David is NOT the High Priest or even a priest at all. Where does he get the authority to do any of this?
2And when David had made an end of offering the burnt offerings and the peace offerings, he blessed the people in the name of the LORD.
--1 Chron 16
Where does it say that David built the tabernacle of Moses in Jerusalem? It says he 'pitched a tent.' It doesn't say he put the ark in the holy of holies. There is no holy of holies in his pitched tent that is separate from an inner court. The holy of holies is the whole inside of the tent.
Again, it is a celebration but still a very casual and open affair compared to the Levite ritual.
Only the priests eat the bread and the offering and the wine, but David offers it to every man and woman in Israel.
3And he dealt to every one of Israel, both man and woman, to every one a loaf of bread, and a good piece of flesh, and a flagon of wine.
Why do you think it's called the tabernacle of David? Maybe because it is different from the tabernacle of Moses?
We see in 1 Chron 16 that the tabernacle of Moses is still standing in Gibeon, and David allows Zadok to continue to minister in this tabernacle, even while the ark remains in his own pitched tent in Jerusalem, ministered to by Asaph.
37So he left there before the ark of the covenant of the LORD Asaph and his brethren, to minister before the ark continually, as every day's work required:
38And Obededom with their brethren, threescore and eight; Obededom also the son of Jeduthun and Hosah to be porters:
39And Zadok the priest, and his brethren the priests, before the tabernacle of the LORD in the high place that was at Gibeon,
40To offer burnt offerings unto the LORD upon the altar of the burnt offering continually morning and evening, and to do according to all that is written in the law of the LORD, which he commanded Israel;
41And with them Heman and Jeduthun, and the rest that were chosen, who were expressed by name, to give thanks to the LORD, because his mercy endureth for ever;
What is the argument being made in Acts 15 and why? Why are they quoting the LORD rebuilding the tabernacle of David and not the tabernacle of Moses? What does this have to do with the Gentiles?
.13And after they had held their peace, James answered, saying, Men and brethren, hearken unto me:
14Simeon hath declared how God at the first did visit the Gentiles, to take out of them a people for his name.
15And to this agree the words of the prophets; as it is written,
16After this I will return, and will build again the tabernacle of David, which is fallen down; and I will build again the ruins thereof, and I will set it up:
17That the residue of men might seek after the Lord, and all the Gentiles, upon whom my name is called, saith the Lord, who doeth all these things.
18Known unto God are all his works from the beginning of the world.
What then does it mean to take down the partition between the Jews and the Gentiles? Could that be something quite literal?