Are all the above mentioned in "Two Monks of Buddhism and Taoism Judge the Truth by Heaven: Inner Edge Training" true?

Of course it's all true. Buddha and Bodhisattva have no lies. The reason why we don't believe it is because we are still hindered by karma, and we can't realize these truths, let alone see those facts. If we also take part in spiritual practice and get rid of all troubles, namelessness and obstacles, we will understand as well as they do.

Amitabha!