Tax law changes

Thank you very much for the information you gave about problems with my W2 form.

I have a follow-up question:

If I lower my state income tax amount in my W2 form  by $111 dollars, the amount of my refund for my CA return is lowered by $123, but the refund for my federal return is unchanged. 

Will the change in my state income tax amount affect in any way my federal return? Will it trigger the attention of the IRS?

Thank you very much again