Green and Artson's panentheistic and process theological approaches, while aiming to modernize Jewish thought, fundamentally break from traditional Jewish monotheism in ways that threaten core religious functions. Through textual analysis of Green's "Radical Judaism" and Artson's process theology writings, their departure from classical Jewish conceptions becomes clear - both reject a transcendent, unique, and commanding God in favor of an immanent force within natural processes. Green describes God as "the inner force of existence itself," while Artson presents God as "the organizing force of an eternally existing reality" with limited power. By abandoning supernatural elements, divine command authority, and the traditional understanding of Torah as revealed law, these theological positions create multiple critical problems: they undermine ethical monotheism's philosophical foundation, reduce divine commands to suggestions rather than moral imperatives, clash with traditional liturgy's assumptions of divine transcendence and omnipotence, and fail to provide adequate pastoral resources for hope and consolation. Although these naturalistic theologies may appeal to modern scientific sensibilities, the analysis reveals they cannot fulfill essential functions of Jewish theology, ultimately weakening rather than strengthening contemporary Jewish religious life and practice.