Just for fun, even though I'm an atheist, I'm going to play devil's advocate and argue against these ten points, mainly from the point of view of a Christian, which is the only world religion I'm educated on:
1. consistent replacement of supernatural explanations of the world with natural ones
This is an informal, inductive fallacy known as a faulty generalization. We can't conclude that because certain explanations from theists have proven to have been wrong in the past that they are therefore wrong in all of their explanations. For example, if we have natural explanations for lightning and rain now, that doesn't mean the theist's explanations that God created the universe and life are incorrect.
2. inconsistency of world religions
This is another informal inductive fallacy of faulty generalization. All the inconsistency of religions proves is that they can't all be true, not that they all are false. From the point of view of the Christian, only one religion needs to be true for their beliefs to be valid. And in fact, this is exactly what they teach -- that Christianity is the one, true religion.
3. weakness of religious arguments, explanations, and apologetics
This is a subjective assessment and an opinion only. Many theists find religious arguments, explanations and apologetics to be quite compelling.
4. increasing diminishment of god
No theist is likely to grant that God has diminished in any way. Going back to point 1, less supernatural explanations may be offered to explain things as our understanding of the world improves and we replace them with natural explanations, but that that doesn't mean God is rendered smaller or lesser in any way that is relevant to a Christian's beliefs, i.e. that what is really important is the personal relationship between man and God, salvation and the hope of an afterlife.
5. fact that religion runs in families
Another informal inductive fallacy since this doesn't prove the religion is false. If someone believes something to be true, of course they are going to pass it down through their family.
6. physical causes of everything we think of as the soul
A theist may concede that there are mysteries on this topic that neither side can currently explain. For the theist, there is the problem of how the immaterial soul interacts with the material body. For the naturalist, there is the hard problem of consciousness. Neither of them, however, will concede that their lack of a current explanation disproves their own position.
7. complete failure of any sort of supernatural phenomenon to stand up to rigorous testing
The theist can argue that supernatural phenomena are qualitatively different than natural phenomena and therefore we can't hold testing of such to the same standards or expect the same results. For example, if natural phenomena are regulated by natural laws, we can expect to be able replicate our tests with the same or similar results. But if supernatural phenomena are agency driven by a supernatural being acting of its own free will (God, an angel, a demon, etc.), then we have no reason to expect them to display the same regularity as phenomena governed by natural laws.
8. slipperiness of religious and spiritual beliefs
This is a subjective opinion. Many theists will assert they are remarkably consistent about their religious and spiritual beliefs, and may point out of the list of the attributes of God has stayed consistent for hundreds or even thousands of years (omniscience, omnipotence, omnibenevolence, omnipresence, eternality, etc.). In any case, a theist who alters or modifies his beliefs in response to objections or recognition of inconsistencies doesn't prove all of his beliefs are incorrect. As an example, a theist may give up a particular doctrine yet still retain his core religious beliefs about God.
9. failure of religion to improve or clarify over time
Theists could argue that this doesn't disprove a religion, as a religion doesn't need to improve or clarify in order to be true. One could even argue that a religion that is static could be a good thing if it means its teachings are true and unchanging. Alternately, theists may argue that theology is the study of God and has improved and clarified humanity's understanding of God over time, and that in some cases additional revelations have improved or clarified religion (e. g. the New Testament being about new revelations from God, the doctrine of the Trinity being discovered or revealed, etc.).
10. complete lack of solid evidence for god's existence
Again, this is a subjective opinion, since many theists will point out what they consider to be solid evidence which may be citations of medical miracles of naturally unexplained healing, group miracles like the Miracle of Fatima, out of body experiences, near death experiences, etc. Additionally, they may point to arguments like the Cosmological, Fine-Tuning, and others related to physical reality as being solid evidence for God's existence. If the theist is using facts about physical reality to prove God's existence, what is more solid than that?