300 Foxes and a Donkey's Jawbone
Evolution is an extensively documented process of genetic change over time. Arguing against it makes WE Christians look like ignorant home-schooled, knuckle-dragging morons. Sorry for being blunt, that's just how it is.
Why would God send a strong delusion if we've been given knowledge of the truth? Do you love the truth, or hate it? Some people don't want it. You have a choice. You can believe anything you want.
Cladistic phylogenetic analysis works by grouping species based on shared derived characteristics (synapomorphies). All of the members of a homologous group have a common ancestor.