This is my main concern. Take the Mystery of History, for example. It tries to combine biblical history with world history and present a distinctly Christian worldview. But it imposes YEC dates on things and the author has no credentials in history. I believe she was a journalism major and has homeschooled for a long time. On the other hand, Susan Wise Bauer’s Story of the World incorporates biblical information into ancient history the way you would incorporate other ancient historical documents, and she at least has a PhD in a history related field. It’s not an explicitly “Christian” perspective on history, though it is written by a Christian.
I have been happy using mostly “secular” history books, but supplemented by biographies of Christians and church history to show how the Christians/Church has responded at various moments at pivotal times. I think that teaches us how to move beyond the facts of “what happened” to “how should we act.” We are just finishing up the History Lives: Chronicles of the Church series by Brandon and Mindy Withrow, and it has been a good supplement to world history.