that could depend on several factors. would the mortgage balance on the second home push you over the mortgage balance cap. also, the additional interest may push you into AMT.
there was a court case decades ago where taxpayers to avoid AMT understated their deduction for real estate taxes. The tax court said they could do it. That was an old case and whether it is still law is unknown.
another possibility is incorrect data entry. this forum has no access to your return or documents.
