http://blogs.plos.org/biologue/2016/03/16/is-the-p-value-pointless/
I agree with most of what is said in this article. However having worked a long time with statistics and criticized the statistical works of others, I have to say this:
Finding sources of variation takes alot more work than one appreciates.
That overscrutinizing P-values (creating stringent thresholds) can cause overcorrection if there are hidden dependencies in the data.