You don't seem to understand what science is.
Science is about the prediction of an end-to-end repetition. Science is accurate because it's always about something which can repeat infinitive number of times for humans to observe and most importantly to predict how it repeats to draw a conclusion. The methodology ToE employed is completely different from any other science. This is so simply because it takes millions of years for an end-to-end evolution to possibly repeat itself. We don't have that time to observe and predict how it repeats to draw any scientific conclusion.
If you implicitly claim that a human can be evolved from in the end a single cell organism, then you have to make the single-cell to human process repeats itself infinitive number of times for humans to do enough observations, and most importantly predictions on how this repeats in order to draw a scientific conclusion. That's how each and every single science works.
This is so because humans are creatures of the present. We don't have the capability to reach the past, and we don't have the capability to reach the future. It is because we have no capability to reach the future that if we can correctly and repeatedly predict how a phenomenon repeats itself into the future, we know that we hit a truth in terms of how we make use of a "theory" to predict the repetition. This is the nature of science and why it is accurate. In a nutshell, science is the making use of predictions repeatedly to identify a truth (which can repeat). ToE is a valid hypothesis in suggesting that evolution (from single cell to fully grown) can be a repeating process (of natural selection). However it's not up to the scientific accuracy as long as you can't make it repeat itself (to the extent of infinitive number of times) for the prediction of its repetition to be made correctly and repeatedly.
That said, to me the theory of common ancestry is a joke in concluding that everyone has an invisible common ancestor without knowing who it is. In terms of how things work, the genes are so if you would like that animal to have its appearance and behavior. If you want a chimp to have its current appearance and behavior, you need the genes to be so disregarding whether the genes share anything in common with that of humans. Everything else can be anything, not necessarily be a result of evolution. It can be a result of interbreeding or a mixture of interbreeding and adaptation. The difference between adaption and evolution is that species can be selected by the nature, however this may not be the way how they are brought to their current state from a single cell.
An analogy is that whenever you see someone in uniform sitting in the cockpit of a plane, you draw the conclusion that he's a pilot. This can be true however it's a pure speculation. He's a pilot when he launches and lands a plane from one airport to another repeatedly as we predict. Then he's a pilot. This what science is and how it makes a difference from the pure speculation. Similarly, when you see how nature changes a species to draw the conclusion that nature can drive a single cell to that species, it's a pure speculation. If you can predict repeatedly how a single cell turns into that species without error, only then you have a science!
