Spirit body doesn't have to mean an invisible, ethereal something of no substance. We don't know what a "spiritual body" is, but we know that's what the saints of God will have when Christ returns:
Co 15:44 It is sown a natural body; it is raised a spiritual body. There is a natural body, and there is a spiritual body.
1Co 15:45 And so it is written, The first man Adam was made a living soul; the last Adam was made a quickening spirit.
1Co 15:46 Howbeit that was not first which is spiritual, but that which is natural; and afterward that which is spiritual.
1Co 15:47 The first man is of the earth, earthy: the second man is the Lord from heaven.
1Co 15:48 As is the earthy, such are they also that are earthy: and as is the heavenly, such are they also that are heavenly.
1Co 15:49 And as we have borne the image of the earthy, we shall also bear the image of the heavenly.
This is the "first resurrection", the resurrection of the saints. There IS a physical resurrection, as pointed out in Ezekiel, but this corresponds to the second, or general resurrection:
Rev 20:4 And I saw thrones, and they sat upon them, and judgment was given unto them: and I saw the souls of them that were beheaded for the witness of Jesus, and for the word of God, and which had not worshiped the beast, neither his image, neither had received his mark upon their foreheads, or in their hands; and they lived and reigned with Christ a thousand years.
Rev 20:5 But the rest of the dead lived not again until the thousand years were finished. This is the first resurrection.
Rev 20:6 Blessed and holy is he that hath part in the first resurrection: on such the second death hath no power, but they shall be priests of God and of Christ, and shall reign with him a thousand years.
The second death has no power over those in the first resurrection because they are eternal. The second death DOES have power over those in the general resurrection, the resurrection that occurs after the thousand years, because it is a resurrection to physical life.
When Jesus was resurrected, he actually had the same body that was crucified.
Can't be. Flesh and blood can't inherit the kingdom of God. He was changed, given a glorified, spiritual body.
1Co 15:50 Now this I say, brethren, that flesh and blood cannot inherit the kingdom of God; neither doth corruption inherit incorruption
Ezekiel 37 is the first resurrection, Doug.