I would tend to agree with this.
My kids are secularly educated, and one of them came to me the other day saying, "Daddy, did you know the Antarctica used to be tropical?" Now of course her secular teacher was thinking in terms of millions of years, but I promptly explained the secular theory vs. the biblical one and how antarctica was indeed tropical just prior to the flood. Rather than a change that took millions of years, it was rather the consequence of a miracle of God that happened relatively fast. I then shared with her some of the ancient maps men had made of antarctica (before the ice came) as well as all the flood legends that occur all over the world in just about every culture on just about every continent.
I could tell it really clicked. Rather than me just giving her a book and ordering her to believe it, I was actually using the secular knowledge of the world, and showing her how to interpret from a biblical perspective and how it makes more sense from a biblical perspective.
But I'm in agreement with you that our kids should know that most of the world disagrees with the Bible, and even most of the church compromises on the teachings of scripture and tend to believe the naturalistic theories of the world.