Since you are conflating two separate theories as a single theory, I will answer them separately.
The theory of evolution is falsifiable by genetics,
Nope. Supporting evidence is not used in science. That is not a test of the null hypothesis. NOTHING says that evolution actually took place. All genetics show is an ability for an organism to inherent the traits of its parent organism(s).
Again, supporting evidence is not used in science. It is only used in religions.
contolled environmental setting,
Man made. Not part of evolution.
The only record of fossils is that they exist. All they show is that an organism once lived. That's all. Common structures and common traits could be explained either by evolution or by design. Again, supporting evidence is not used in science.
Every attempt to falsify evolution by natural selection through rigorous scientific testing has utterly failed.
WRONG. For natural selection to occur, you must first have a variety to select from. However, if natural selection is True, the tendency is to reduce variety, not increase it. Therefore, the Theory of Natural Selection is a paradox. The Theory of Evolution, however, still exists. It is not falsifiable. It may be True, or it may be False. We simply cannot test it.
The day we find chimpanzee fossils in Precambrian rock strata is the day we will have to throw out the theory of evolution by natural selection, and work on developing a new theory
That wouldn't throw out the Theory of Evolution at all. It is not a test of the null hypothesis of the Theory of Evolution. It is only a test of a particular theory of the lineage of fossils. There are already conflicting lineages of fossils, depending on whether you use cellular comparisons or structural comparisons.
The Theory of Evolution simply states that life today evolved from more primitive life in the past. NOTHING about any of your tests actually tests the null hypothesis of that theory. They all test some other theory. The only way to test it is to go back and see what actually happened. That test is not available.
The Theory of Evolution may be True, or it may be False. We simply do not know, nor can we know.