Anselm's tradition establishes that 'that than which nothing greater can be conceived' converges on a unique concept, making wide doctrinal variation evidence against a single worthy object, not compatibility with one.

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Anselm(the statement refers to his philosophical tradition): An 11th-century monk and philosopher who created a famous argument trying to prove God exists just by thinking about what God must be like.
Anselm's tradition(the philosophical approach being discussed): The school of thought that follows Anselm's method of proving God's existence through logical reasoning about God's definition.
That than which nothing greater can be conceived(Anselmian formulation referenced in the passage): A conception of a being whose correct characterization must include existence, since existence is a greatness-contributing predicate.
a single worthy object(what the statement argues the definition should point to): One specific thing that deserves respect or worship—in this context, one true God rather than many different conceptions of God.
converges on(describing how the definition leads to one specific concept): Comes together and points toward a single thing; multiple paths or ideas all lead to the same conclusion.
doctrinal variation(referring to different religious traditions' varying descriptions): Differences in what people believe or teach about a subject, especially religious or philosophical beliefs.

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