I have an English name (my parents were not frum at the time). My kids, however, have only Hebrew names. The names on their birth certificates are their Hebrew names.
Look at it this way — if other cultures can be proud of their heritage and give their kids ethnic names, then why shouldn’t we?
The Wolf (who is just waiting for someone to accuse him of violating “Chukas HaGoy” because of his reasoning 🙂 )