Usually a bad idea to name something after someone who is still alive (apart from things like Presidential libraries). Of course Washington, DC, was named for George Washington while he was still alive, as were various towns and counties for other living heroes of the American Revolution. Patrick Henry had two counties in his home state named for him while he was alive (Henry County and Patrick County).
Kermit the Frog or Donald Duck would be less offensive choices than Harvey Milk.
Usually a bad idea to name something after someone who is still alive. Last time I looked, Harvey Milk was dead. Getting shot will do that to you.
The offensive thing about the name is the association with LGBTQWERTY activism, of course.