How to figure my share of taxes on a joint return

When filing as "married filing joint" how do you figure each spouses portion of the taxes due or refund? As an example:

Husband's taxable income is 100,000

Wife's taxable income is 50,000

Using standard deduction of 29,200, that brings the household income to 120,800.

This brings the husband's adjusted income to 80,436 (100,000 - 67% of standard deduction)

and the wife's adjusted income to 40,364 (-33% of standard deduction)

This means the husband's Fed tax bill would be 17,695 (22% marginal rate)

and the wife's portion would be 8,880.  The husband would pay/get refunded any amount withheld from his income above or below the 17,695 and the wife the same for the 8,880.

Does this look like a fair way to split the two incomes when filing jointly?