You are committing the fallacy of equivocating the existence of natural physical laws with philosophical naturalism. The fact that natural physical laws exist does not mean that philosophical naturalism is also true. That is a non sequitur, but is the basis for the Weak Anthropic Principla, the Big Bang, abiogenesis and evolution. Yes, the fallacy of philsophical naturalism underlying 'science' does need to be discussed.
"They work when natural explanations are sought,and they go astray when supernatural or political explanations are sought."
They also go astray and do not 'work' when philosophical naturalism is assumed, which is what we have today.
Then discuss it. Don't just assert it.