For just one of many examples of how science and religion are incompatible, see my point about the contradiction of God-guided evolution (theistic evolution) in my post "Profoundly Challenging Questions to Ask an Atheist."

Also, as I've written elsewhere:
Faith is based on belief without evidence, whereas science is based on evidence without belief.
According to religion, the best ideas were revealed in the past; according to science, the best ideas will be discovered in the future.

My definition of science is standard and unoriginal, e.g. the Google definition "the intellectual and practical activity encompassing the systematic study of the structure and behaviour of the physical and natural world through observation and experiment." I could elaborate with a Popperian definition: ”a hypothesis can be falsified by observed exceptions but never absolutely proven to be true" (Merriam-Webster). And I like David Deutsch's idea of conjecture and criticism.

No I don't believe philosophy is dead. I do think it is still useful.