Both MN and WI state you must use the same filing status for them as your federal filing status. Since you were married on December 31st you are considered married for the tax year. Your choices would therefore be Married Filing Jointly (MFJ) or Married Filing Separately (MFS). As you mention typically MFJ leads to a more favorable tax outcome. With that in mind you should file MFJ federally and part-year resident returns for MN and WI as MFJ.
First, in the "My Info" section edit your information and indicate you lived in WI on 31 Dec but lived in another state (MN). Enter the date you moved to WI. Then edit your spouse's information and indicate they lived in WI on 31 Dec and did not live in another state.
Next enter your income and deductions as normal in the federal interviews.
After completing your federal interviews start the MN state return. It should be "Part-year". Eventually you will arrive at the allocation section. You will allocate only your income received while a resident in MN to MN.
Finally start the WI interview. It should be "Part-year". Eventually you will arrive at the allocation section. Allocate all of your spouse's income plus any income you received while a resident in WI to WI.
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