[baberean]

Your reasoning ends up at that conclusion, yes.

God created man and took one rib from man to create a wife for him, therefore God only intended one man and one woman to be married.

That same reasoning leads to:

God created a wife for man, therefore any man not following the protocol God set by marrying is sinning.

The logic is flawed.

[Elsie]

That same reasoning leads to:

...a strawman: no logic at all.