If line 6 of your Form IL-1040 is populating with the amount from line 14, rather than line 1, of your federal Schedule 1 then, you're correct. This shouldn't be happening.
First, double-check that all of the amounts on your federal Schedule 1 are correct. If they're not, go back into the TurboTax program and make any changes necessary -- in your case, check taxable refunds of state and local income taxes, and moving expenses for members of the Armed Forces.
Then, if there are no issues with your Schedule 1, your best bet may be to delete your Illinois return and start it over again.
See the TurboTax Help article How do I delete my state return in TurboTax Online? for guidance. If you're using the Desktop version, see the TurboTax Help article How do I clear my state return in the TurboTax for Windows software?.
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