Why do Athiests require 'proof' that God exists?

[Oldandeasilyconfused]

But isn't it important, or at least interesting to you, to question the basis for trusting the results of the scientific method or to probe the limits of those mental tools?

An unanswered question does not infer a limit to the method. Just as likely to be a problem with the question,the way it asked or the questioner.

The short answer to your question; No.