Special Relativity follows from the Lorentz transformation which is rigorously derived from the two following postulates:
Not a single experiment in the last 120 years has ever faulted these postulates. As a result, any anti-relativist who wants to claim that Special Relativity is wrong must be able to fault the Lorentz transformation.
CHALLENGE
I challenge anyone to point out a single mistake in this rigorous mathematical derivation of the Lorentz transformation, which does not involve more than 8th grade math and which can easily be understood by 13-years-old kids: https://youtu.be/6N2mH3-khUg