Classifications are those given by estimators based on what they claim to see in a fossil and as a result evaluate it as to the category they think it belongs in. While the categories are connected with the theory promoted by evolutionists, the categories do not prove anything besides classification by theorists, and placing them in what they think looks to be a similar identity. It is not proof of evolution, as you probably already know.
I am not clear what you are going on about, but I will address this confusion as best I can.
Modern taxonomy historically began in 1758, about 100 years prior to Darwin's publishing On the Origin of Species. Your conjecture regarding how taxonomy is carried out falls quickly apart on that fact alone. Taxonomists discover, describe and categorize species based on a variety of evidence. The theory of evolution helps taxonomist understand the connections between different species and groups, but it does not dictate how they are to be classified in some prescribed doctrine that is against the evidence. The relationships and the nested hierarchy observed in viewing these taxa at different scales is, in turn, evidence supporting the theory of evolution. I know that this will fall on deaf ears with you, but it may help others better understand why the theory of evolution has held up and been very useful for over 150 years. Taxonomic evidence ranks highly as supporting evidence and nothing determined or discovered by taxonomists has falsified the theory. No magical poofing of one species into another or a termite suddenly turning into a stork.
Today, taxonomists not only have morphological evidence to hypothesize on and establish these connections, but there is evidence from genetics, molecular biology, ecology, physiology, biochemistry, paleontology and other fields that provide support for the sorting of species together within higher taxonomic levels. It turns out that a lot of the taxonomy established using classical morphology has held up under the scrutiny of new tools from genetics and molecular biology, but these have contributed to refining and providing evidence for inclusion and exclusion of various species in one taxon or another.