But philosophers do spend a lot of time on such formal, sober, lab coat style analysis of rational arguments and language and so on.
Just like how computer scientists spend a lot of time working on stuff like type theory (which of course has strong ties to 20th century philosophy, even to the positivists in some ways) which could be seen as anemic or formalistic or whatever.
I have sympathy for people who have burning life-and-death questions but to me it seems somewhat foolish to look for their answers in philosophy. Wearing my philosophy dabbler's hat, questions like that mostly seem like they have a feeling of urgency because they are confused and emotionally charged, and I (somewhat condescendingly, if you'll let it slide) suggest careful analysis of the premises and definitions involved, to maybe attain a less urgent and stressful state of mind.
Someone might find it extremely important to find the answer to the question of whether God is real. There are certainly philosophers who have written fervently about it, say Kierkegaard. But I think of the quiet kind of passion of someone like Spinoza, who in a way sidestepped that whole urgent question, and did it very carefully, analytically, and productively.
Mostly I think people will find their own allegiances and ways. Philosophy is very broad and diverse. If one school operates in a way you dislike, what's there to do but find another one? Or start one...