They are complimentary disciplines, unless you are lumping religion under philosophy, which in my view would be a category error.

Sure. If it is real than it has to be compatible with science!

Not sure about your question, but philosopher-scientists are not uncommon, including Chomsky. In addition, there's a long list of philosophers of science, [en.m.wikipedia.org].

Why not? Philosophy and science discuss different ways of execution with very different criteria.

The danger with the question is eliciting a divide which doesn’t exist

Philosophy will explore, and consider ideas

Science will test the ideas as far as possible.

The results of the tests can be considered philosophically

The ideas from the tests can be, where practical and applicable, tested by science.

They are compatible with each other.