I think it’s good to keep this part (the state), for the multiple same name problem.
But I don’t know the abbreviations.
I just copy them if they’re available or don’t write them.
I was born in LA, not the one you think. 
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I know Australia uses state/territory abbreviations for postal addresses (Sydney NSW, Brisbane QLD) but my impression is they’re not that commonly used in other contexts. China uses provinces in postal addresses but I have no clue about any other usage.
I do this too. I don’t think we should worry much about standardization in disambiguation comments, since by nature they’re not standardizable. Keep them brief and to-the-point and they’re more likely to be read.
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