A current example of science and philosophy intermingling: On one side we have the biologist P.Z. Myers (among many other biologists) holding that sex is not binary, but a continuum. One the other side we have the biologists Jerry Coyne and Richard Dawkins (among many other biologists) holding that sex is strictly binary. The dispute has gotten nasty, with Coyne deriding Myers as a “miscreant” while Myers has repeatedly and personally castigated Coyne and Dawkins, in highly personal terms.
Who is right? If scientism were true —only scientific statements have meaning and get at truth — this dispute would not e possible. Hence, scientism is false. The dispute, of course, is philosophical. Philosophy is at the very heart of science.
The dispute is (to be more specific) ideological - ideology being a (very stupid) form of philosophy.
There's an objective and scientific answer; Myers is right, and Dawkins and Coyne are wrong.
But ideology frequently trumps science, particularly when it comes to questions that have longstanding religious "answers" that are objectively wrong, but widely indoctrinated into children.
Science is, in a very real sense, the art of persuading oneself to accept that ones cherished beliefs may be objectively wrong. Humans, even those trained as scientists, are very, very bad at doing that.