I was with you until the highlighted bit. What comes before that is merely a way to distinguish one discipline from another. But that bit? I'll give you an example of two questions I think meaningful, one better served by science, the second by philosophy:
1) How many terrorists (expressed as a percentage with a p-value around .05) will we add to the population if we take in refugees from Syria?
2) Should we take the risk?
ETA: I also don't see the two disciplines at odds with each other, but complimentary.
Without getting too deep into discussions which have already beaten, resurrected, and re-beaten the horse I have a major base problem with the idea that (and forgive me for over simplifying a rather esoteric concept a bit here in an almost certainly futile attempt to keep from degrading immediately into pointless semantics...) "science" can't/shouldn't make judgement calls about what are traditionally thought of or described as moral or ethical topics.
Not only do I think science can and should weigh in on those topics, I think like everything else it's track record for actually addressing/improving/solving them is pretty much to the point where other methodologies have lost the moral high ground.
But that's a worldview of mine that I have no desire to defend in this arena anymore. Again it's a matter of semantics and categorization but just because it's not test tubes and lab coats doesn't mean it isn't science. Game theory, statistics, psychology, sociology, and neurology are all science and as far as I'm concerned that is all you need for ethics and morality. The only questions not answerable under that framework is meaningless navel gazing of the "Prove to me using my narrow definition of science that pain is a negative or admit your entire ethical model doesn't work" variety. I have as little interest in debating with moral solipsist as I do with regular solipsist. Once you accept that morality is simply a desire to reduce the suffering of conscious creatures science sorta does cover all the bases needed for a good, solid framework.
But directly while I've never argued that philosophy and science
can't get along that's not what I see on a practical level. Either it's science being held back by "bad" philosophy (mysticism, pseudoscience, religion, etc) or "good" philosophy (ethics, morality, base concepts of thought and reality, etc) trying to assume a role above science, telling it what it can or can't do and is and isn't allowed to hold opinions on. Again that's my point. Science has actually proven itself as a useful, functional methodology to a degree that no "Philosophy" ever has, so while there is still room for philosophy in my worldview I am pretty much done with any suggestion that science has anything left to prove to any other methodology at this point.
At the end of the day I still feel that all the various variations of "Meaningless philosophical distinction, therefore science as a concept doesn't work, therefore Woo" is still worth fighting against. No materialism has not devastated the scientific method and homeopathy is still meaningless tripe. All the trees falling the forest with no one around and sounds of one hand clapping aren't going to change that.