It is not clear to me why your tax assessed should have changed in either state.
The two state forms are based on your AGI, not what is in box 16 on your W-2. I am thinking that something else changed in the process of entering that. My test's state taxes stayed exactly the same when I went from blank for Illinois state Wages to $50,000.
Also my Missouri tax stayed the same when I cut the MO state wages in half.
Without seeing your return, it would be impossible for me to tell you why what changed changed. There are other things that can affect your state tax due. For example, if you did something to make MO state tax change, then the Illinois state tax will change because the size of the Missouri tax credit taken in Illinois will change.
I would say, the answer on filing depends on whether or not e-filing your return is important. If you can print and mail, then put the W-2 back the way it was. If you want to e-file, then leave it as is, understanding that there may be something else that I can't see that makes a difference.
The third alternative is to contact TurboTax if you have paid for a product - please see this TurboTax FAQ and let the agent see your return.
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