I understand that the metaphor breaks down (metaphors do).

I understand that a wife does not exist to worship her husband (nor should she).  If the comment thread goes in that direction...it would be a bad idea.

I understand that a husband is not God (see above note about the comment thread).

What Can We Learn From Adam and Eve?

1) Eve was not a "less than".  Adam was the only creature that was created in the way that he was and Eve was the only creature created in the way that she was.

2) Eve was created to be a helper fit for Adam.  "ezer" was not in any way a "less-than" term.  It is used to describe God and it is used to describe help from God.  To be an "ezer" from God is to have a very special role and (I would think) would be a privilege and honor.  This is what Eve was created for.
3)  Eve was created to be a companion.  God said, "It is not good for man to be alone", and then, "I will make a helper for him."  One flesh - bone of my bone.  This is what Eve was created for.

My belief in reading all of this (including the parallels of a husband and wife to Christ and the church) is that Eve, created second, created as a helper and created "out of" man - was the...well...helper.  She (as helper) would have filled the need that Adam had for another "pair of hands".  God set the "job description", Adam set the path within that job description and Eve (by defintion as helper) helped.

How does that relate to Christ and the church?

How often have we heard the line, "Jesus with skin on?"   We (the church) are the representatives of Christ walking around on this green earth.

There is a job to be done, set by the Bridegroom.  Spread the gospel.  Protect the weak.  Feed the hungry.  Care for the homeless.

God, the Trinity, set the job description.  Christ gave us the "Great Commission".  The bride of Christ is His representative on earth to carry out the plan.

And a husband and wife?

God sets the job description - what are we supposed to do?  The husband (if the wife is to submit to her husband as Christ submits to the church) sets the path and the wife (as ezer) is his helping hands.

Does this make her "less than"?  No - it gives her an honorable part in the job that Christ has given.

Does it make the husband "more than"?  In the plan of Christ, no.  It gives him the burden of making (and taking responsibility for) the working out of the plan.

What can we learn from Christ and the church by looking at the first husband and wife?

Unity.  Job descriptions.  Honor in both roles.  Honor in service.  Job descriptions written by God.