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It won't help to reduce taxes on your social security because the base amount is $0 rather than $32,000, (in the calculation to determine the amount taxable) if your filing status is married filing separately and you have lived together at any time of the year. Hence, your benefits become taxable at a much lower level of income.
See page 3 - http://www.irs.gov/pub/irs-pdf/p915.pdf