I'm an evangelical Christian and DH is Jewish. To put it mildly, neither church nor synagogue have been particularly chuffed with us.
We'd like to call our (still unborn) DS Hillel. He was a rabbi around the time of Jesus, and his teaching underlies much of what Jesus says when he pisses off the religious authorities in the New Testament. In other words, perfect 
To Jews - is this name OK for a child who won't be officially Jewish himself*? Or is it offensive?
To Christians - if I hadn't explained the origins of the name, would you have understood why we'd chosen this name?
To everyone - is the name Hillel Cohen* asking for antisemitism?
- ie because I'm not
** Our surname isn't Cohen, but it's similarly recognisably Jewish