Both these writers you have mentioned are FANTASIZING instead of exegeting.
The only way to explain the existence of Ezekiel's temple is to accept it as the FOURTH TEMPLE which is built under the authority of God and Christ and is for redeemed and restored Israel. It must be seen in the light of the complete prophecy (supported by all the other prophets).
1. There is absolutely no doubt that according to Daniel, Christ, Paul, and John, there will be a third temple in Jerusalem during the Tribulation. It will be regarded by unbelieving Jews as the "temple of God," and it will be on the Temple Mount.
2. This temple will be desecrated by the Antichrist and used as a venue for him to proclaim that he is God. But before that he will make a deceptive covenant with the unbelieving Jews (who will believe that he is the true Messiah) to resume their temple sacrifices and oblations. There are already red heifers being raised in Israel. This temple will be destroyed during the Great Tribulation (or just before) and this is implied in the fact that it is an abomination to God because the Abomination of Desolation will sit in that temple.
3. Ezekiel's temple must await the second coming of Christ, and the redemption and restoration of Israel.
EZEKIEL 37
21 And say unto them, Thus saith the Lord GOD; Behold, I will take the children of Israel from among the heathen, whither they be gone, and will gather them on every side, and bring them into their own land:
22 And I will make them one nation in the land upon the mountains of Israel; and one king shall be king to them all: and they shall be no more two nations, neither shall they be divided into two kingdoms any more at all:
23 Neither shall they defile themselves any more with their idols, nor with their detestable things, nor with any of their transgressions: but I will save them out of all their dwelling places, wherein they have sinned, and will cleanse them: so shall they be my people, and I will be their God.
24 And David my servant shall be king over them; and they all shall have one shepherd: they shall also walk in my judgments, and observe my statutes, and do them.
25 And they shall dwell in the land that I have given unto Jacob my servant, wherein your fathers have dwelt; and they shall dwell therein, even they, and their children, and their children's children for ever: and my servant David shall be their prince for ever.
26 Moreover I will make a covenant of peace with them; it shall be an everlasting covenant with them: and I will place them, and multiply them, and will set my sanctuary in the midst of them for evermore.
27 My tabernacle also shall be with them: yea, I will be their God, and they shall be my people.
28 And the heathen shall know that I the LORD do sanctify Israel, when my sanctuary shall be in the midst of them for evermore.
Here is a very clear and unambiguous reference to the temple which will be built within redeemed and restored Israel in the future. God's covenant of peace can be none other than the New Covenant (mentioned indirectly in chapter 36:24-27). "My sanctuary" and "my tabernacle" speak of that temple, and later on in the book of Ezekiel we see how the glory of the LORD enters into that temple (just as it did when Solomon finished building the first temple).
The book of Ezekiel does present an enigma to Christians, who know from the book of Hebrews that the temple and its sacrifices under the Old Covenant were abolished because of the finished work of Christ. The supernatural tearing of the veil within that temple occurred at the same time as Jesus cried "It is finished". But if we are wise we will leave the reconciliation of Ezekiel's temple with the New Covenant in God's hands and simply say that we will learn about it during the Millennium.