A better way to explain the situation is using proper theological catagories.....
Faith is comprised of three parts: knowledge; agreement; trust.
True faith must have knowledge of something/someone first. (It is NOT blind.) Then based upon that knowledge the attitude of agreement (or disagreement) - then based upon both of these, a complete trust in the former.
The so called "head knowledge" idea is really describing a person who has the right knowledge; even agrees with the knowledge -- but at the end of the day does not trust Christ.
Some characters in the Bible/NT exhibiting this were: Judas; Pharisees; the demons.
The Bible doesn't divide head/heart....but it does teach saving faith and false faith as above.
Robin