People on both sides don't realize that evolution is a huge research progamme involving focal and auxiliary hypotheses supporting a global thesis (which cannot be directly supported by evidence). Problems occur when people think the global thesis is true because one of the focal elements is true (e.g. the peppered moth proves evolution!!), when people reject the global thesis because they reject one of its focal elements (e.g. theistic evolutionists who reject abiogenesis and thereby reject evolution), or when people think that affirming the global thesis requires accepting all of its focal elements (e.g. again, thinking evolution requires abiogenesis). One can "believe in evolution" generally yet disbelieve several chapters of the Grand Evolutionary Story.
H, i think you're kidding yourself on that part. What you describe there as "Evolution" sounds like a disparate collection of small hypotheses that get stuck together into this somewhat artificial grand hypotheses. That way of viewing evolution may make it easy for you to plug in your favorite counter-theory, but as i said, that's not how evolution, or science, works. The two can not be separated, because at this point, barring minor points of discussions at the fringes, all branches of science are heavily interlocked. They all agree on that "grand story", and they all do with completely different evidence. So, by saying "I don't believe in the grand story", yoiu are rejecting physics, biology, chemistry, paleontology etc, all in one swoop.
Just to give an example here, there are animals across the world that are quite similar in genetic code (a finding from biology). You can estimate backwards based on the average number of mutations per millennium how long ago they shared the same ancestor. Well, however that doesn't answer how those animals could even share the same code, given how they are separated by vast bodies of water.
Separately you got the physical finding that the tectonic plates are slowly moving. And also the finding that the rocks on the Eastern coast of the US are the same makeup as the ones on the West African coast.
Well, now you calculate back when those two continents were connected. And lo anbd behold, it is the same timeframe that the genetics calculation gave. Which now corroborates, from two totally separate arms oif investigation, that at some point the tectonic plates formed one big object, and the animals roamed freely on it.
Comes in geology and paleontology (fossils), who with even more different evidence come to the same conclusion.
So, when you reject Evolution, you reject all science essentially.