Greetings Muhammad
A number of points:
The order may show which creatures lived at which time, but it does not prove common ancestry
It doesn't necessarily prove direct ancestry between specific species (unless there is other supporting evidence) but it does strongly indicate common ancestry - especially when allied to molecular biological and other evidences.
A balance of probability is far from being fact.
100% of the many millions of fossils so far discovered are consistent with TOE, none disprove it. At some point the 'balance of probability' tips so far that it's reasonable to treat it as fact.
The point about the Cambrian explosion is that new theories have to be synthesised to account for unexpected findings. This is in contrast to what you say about everything appearing in the way TOE predicts.
There is nothing here that is different in kind than the problems that still need or have needed to to be solved in other sciences which you support (eg dark matter in cosmology). The Cambrian Explosion raises questions but there are a number of plausible answers, and every prospect that a scientific consensus will ultimately be reached.
If you reject evolution on the ground that it's 'unfinished' or changing, you must logically reject all science. (And some of the posts in this forum come very close to that.) So why do people quote science in an attempt to 'prove' religion? This is just pick and mix.
Creationists do not oppose the notion of God creating laws in the universe, so the fact that development follows stages is totally consistent with a Creationist worldview
Yes, but what we see are not the right stages.
God has told us very clearly about our origins. If people have chosen to ignore that and fallen into confusion as a result of placing their faith elsewhere, they have only themselves to blame
God told Muslims about our origins. He didn't tell Darwin or any number of other people.
It still doesn't make sense to use this particular order, this pattern, unless it were actually a reflection of genuine underlying laws.
The number of possible solutions and the quality of the analysis was irrelevant (one could argue that future improvements in analysis may change the theory yet again)
The quality of observations was not irrelevant, it was crucial. The number and accuracy of astronomical observations was essential to Kepler's reasoning.
The bottom line from this is that observations can have more than one interpretation and it is valid to question the 'how' before making judgement
No. The mathematical data which Kepler uses to prove his theory of elliptical orbits cannot be solved by any other theory, no more than any maths sum can be made to add up to something different.
Just because science continues to change in some aspects, that doesn't mean the whole thing is fluid. There are any number of aspects of science which are complete, finished and unchanging.
In the case of evolution, anatomical or genetic similarities between species can just as well mean they were created by the same Creator rather than indicate common ancestry. It is not true that there is only one possible solution based on the observation.
There are two competing theories on the table. Evolution and Creationism. One of them fits the data much better than the other.
It is strange... science progresses through asking questions and yet here you insist that only one solution is possible, questions should not be asked and that estimating and inferring is an infallible process.
I don't say questions should not be asked, either in the quote you give or elsewhere. But many Creationists are not asking questions - they are claiming evolution is impossible. Which itself is an impossible claim to justify with our current state of knowledge.
There are hundreds upon hundreds of scientists who believe that careful examination of the evidence for Darwinian theory should be encouraged. Clearly they too are not convinced by being told to ignore the 'how'.
I don't understand why anyone makes the appeal of authority for Creationism. The fact is that the overwhelming majority of specialists in the field support TOE, as well as most other scientists. Many scientists quoted as anti TOE are based in other disciplines. Also, it's interesting to note that almost everyone who opposes TOE are religiously motivated. The argument is not persuasive in itself. Whereas TOE is supported by large numbers of Christians, Muslims and people of every faith.
You are also stretching the analogy too far. Celestial movement is something that all of us can see and witness for ourselves but macroevolution is not. It is far easier to test claims about phenomena we see every day than claims of occurrences millions of years ago.
There are many things we can see today consistent with macroevolution, just as observations of the sun were/are consistent with heliocentricity.
We can't 'see' the Big Bang either, an unimaginably more distant event. We can only see some things consistent with it having happened. Yet many Muslims believe in the Big Bang.