I looked at their arguments against the big bang, it's ridiculous.
J) Before the Big Bang Event, there was nothing. No space. No time. Just an infinitely dense singularity.
Correction: there IS no "before the big bang", because we assume the big bang was the beginning of time, and therefore to explain what was before it makes no sense.
B) Dependent upon a singularity, a mathematical concept which is improbably except in theory. Space 'expands' out of 'nothing'. To be fair, a rather miraculous concept that would likely require divine intervention.
"A mathematical concept which is improbably"? What in hell is that supposed to mean? An example of a mathematical singularity is f(x) = 1/x at x=0, what probability is there to assign to this? In astronomy, a singularity is a point-like mass that reaches 0 volume (and therefore infinite density), like in black holes. In fact, we also predict that there are naked singularities; meaning singularities that don't suck in all the light, and can be seen and studied.
Space doesn't expand out of nothing, it expands along with the expansion of matter. To quote David Mermin:
"Fields in empty space have physical reality; the medium that supports them does not. "