evangelism and theology

Do they mix? Michael Green in his 1970 work Evangelism in the Early Church (Eerdmans, 1970, 2004) noted in his intro that typically an evangelist is not interested in theology and theologians are not interested in evangelism.

Green wants us to know he is committed to both, but I wonder about his assertion? I don't know too many evangelists who exemplify good theology or even show interest in larger theological issues - most of the time they are about Jesus and seeing people come to saving faith in his work on the cross - yet I haven't seen too many ivory tower theologians either out street preaching either. Often they might be more concerned with things like textual criticism, form criticism, source criticism, and other various criticisms along with correct doctrine and theology.

So, do they mix? What say you?