I think it depends why.
We gave our kids English names on their birth certificates, simply to make it simple for non-Jewish people who we and they will come into contact with. But they are always called by their Yiddishe names.
What gets to me is the parents who are very idealistic about only giving Jewish names, and then when they get to the office, Yankel becomes Jack, Eli becomes Alan, etc. For some reason you don’t find Mohammed calling himself Mike at work!?