Replace the word "Stationed" with the word "Living". You should file joint Federal and IL returns. Then file a joint non-resident (military) return for MO. You are living in MO to be with your military spouse living in MO on military orders. Your joint IL return is attached to your MO return as proof of your IL state residence.
Bottom line is you and your military spouse will pay taxes on a joint basis to one state of residence (military home of record) no matter where you live.
If there were MO taxes withheld those will be refunded. You will owe some taxes to IL if none were withheld for IL. If you haven't already, you should have your employer stop withholding for MO and start withholding for IL.
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