A big part of our Jewish theology and philosophy is based on our desire to be closer to G-d (hope it's accepted unanimously). All of our analogies are built around the personification of G-d, whether we refer to Him as the Master/the King, the Father or the Spouse.
But let's try to visualize a greater view of G-d, like Rambam's. Let's imagine that we relate to G-d as amebas or ants relate to us. In this view, all the aforementioned analogies are invalid and irrelevant as our scopes of intelligence are incompatible. And, therefore, no communication or interaction is possible on any level of sophistication higher than ours.
So everything G-d does for us, in our imagination, has to be in human terms - speed, volume, value, etc. For example, if G-d wants to pass some information He needs to SPEAK/write, word by word, in an acceptable voice and comprehensible language (imagery), at the speed and volume of our understanding (He can't give us Torah 15Gb in size - that's incomprehensible). In other words, manifest human qualities. If He FEELS, the range of His emotions perfectly mimics ours.
Therefore it appears that the Jewish theology necessitates G-d's anthropomorphism in order to maintain its beliefs (see Raavad's comment to Rambam Hilchot Teshuva 3,7):
(וְהָאוֹמֵר שֶׁיֵּשׁ שָׁם רִבּוֹן אֶחָד אֲבָל שֶׁהוּא גּוּף וּבַעַל תְּמוּנָה (נקרא מין.
ראב"ד: ולמה קרא לזה מין וכמה גדולים וטובים ממנו
הלכו בזו המחשבה לפי מה שראו במקראות
ויותר ממה שראו בדברי האגדות המשבשות את הדעות:
So do our basic concepts necessitate viewing G-d as anthropomorphic?