You may need to check yourself again. Although the site itself claims to be "Nazarene," it is called the "Wesley Theological Journal" and has as its first reference links to John Wesley, the founder of the Methodist church you call "liberal." You didn't read far enough. At the bottom of the page:
Edited by Michael Mattei for the
Wesley Center for Applied Theology
at Northwest Nazarene University
Nazarenes are Wesleyan in tradition.