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I would just keep filing Joint.  I don't think there is any advantage to filing MFS or Head of Household.  And she would also have to file a separate return and all her SSDI will be taxable.  

What do you mean you've been claiming her as a dependent?  A spouse is never a dependent.  You just file Joint.  She should only be listed in the top section and not in the Dependent section. And have you been entering her SSDI SSA-1099 and withholding on your Joint return?