The best replacement for theism is deism.

The best alternatives to theism are rated as following:
★★★★★  deism
★★★★  atheism
★★★★  naturalism
★★  pantheism
★★  atheism debate
★  agnosticism
★  humanism
★  gnosticism
★  nontheism
★  panentheism
★  postmodernism
  calvinism
  process theology
  non theism
  arminianism
  monism
  nihilism

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Speaking about theism, one probably shouldn't forget about theism.

Other search terms related to theism and their ratings are:
★★★★★ theism
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