Predictive Prophecy v Historical Type

Regarding Ezekiel's Temple:

Christ is a Temple - but He's not that Temple.

Believers are priests - but we're not Levitical priests, as those mentioned in Ezekiel were.

We offer sacrifices - but not the sacrifices mentioned in Ezekiel.

When Ezekiel's prophecies were fulfilled post-exile, those things, when carried out, certainly were carried out as TYPES of the New Covenant realities which Christ would later bring. 

But there's a difference between predictive prophecy and type.

Predictive prophecies required a fulfilment in history of what was predicted.

Types on the other hand are drawn from history not from predictive prophecy.

So predictive prophecies such as Ezekiel's, which predicted the carrying-out of Levitical functions had to first have their direct historical fulfilment before typological inferences can then be draw from the practices.

It's true that there was never a fulfilment in post-exilic Israel of the magnitude described by Ezekiel - if you take it literally. But unlike Moses' instructions concerning the Tabernacle, Ezekiel's visions weren't all meant to be applied literally, because Ezekiel often wrote in the Apocalypic genre (like Daniel and Revelation) - while Moses wrote in prose.

God spoke face to face with Moses - but to other prophets He spoke using visions and symbols.

So Ezekiel's visions were symbolic and required a certain amount of interpretation even back then. But the fulfilment was still Old Covenant.

If there'd been no fulfilment in Old Covenant times then there would have been no Jews, no nation, no city, and no Temple for Messiah to suddenly come to. And there would have been no types being carried out for Him to then fulfill.