A darwinist is someone who claims that organisms evolve mainly by the mechanism of random variation + natural selection
It is a term coopted by creationists to use as a pejorative in an effort to dismiss the theory and supporting evidence by means of negative implication rather than by fact of evidence.
Darwinism is an archaic term and should really be applied to the study of Darwin, the man himself. Which is not the subject under debate here. His original work on the subject of evolution was not entitled the origin of species by darwinism.
I'm not sure what the proper term for a person that reviews the evidence, recognizes the explanatory power of the theory regarding that evidence and defends that position should be called. Science supporters? That sounds accurate and correct.
Did you ever figure out that this thread was about alternative creationist explanations for the science presented in that paper of the OP?
It isn't the subject of this thread now. In my experience, creationists often divert such questions and debates rather quickly into ad hominem slam fests and, for this thread, who has the bigger gun.