vladb answer works fine, and I would like to add that if the code you posted is actually what you are doing instead of a simplified example, then you really don't need the keys of the hash and it can all be written as: 

my @mips = sort { lc($a) cmp lc($b) } values %mips;

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In reply to Re: alphabetize a hash ignoring upper/lower cases by tstock
in thread alphabetize a hash ignoring upper/lower cases by Evanovich

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