Is modern mathematics scholasticism?
Well, strictly speaking, not at all. They have similarities, but a medieval approach to theological education and contemporary mathematical research have a a lot of space between them conceptually. One can draw an analogy, to be sure, but the claim to strong similarity is a superficial one that would fall apart under scrutiny.
Frege / Russell logical atomist approach failed
Well, that's an black-and-white opinion; logical atomism was a hypothesis that helped philosophy progress. The correspondence theory of truth has a long, proud history and a certain air of pragmatic weight and is perhaps the simplest sense of truth to understand. It comes right out of naive realism and simple presumptions about representations.
intuitionist logic failed
Again, that's an opinion, not a fact. You seem unwilling to accept basic facts, such as the one Cork Screwdriver presented:
Intuitionistic logic is certainly not abandoned in math. Even if most people use classical logic, there is still a large community of people who work with intuitionistic foundations
Plus, you seem to harbor the notion that truth is a realist enterprise, and that there is a one-true-way to do philosophy and logic, instead of accepting the generalization of truth in terms of rational satisfiability and emprical adequacy and the inevitability of logical pluralism which is ironic, because such an ego-centric approach has a lot in common with the presumptions that undergird logical atomism.
Real/complex analysis, set theory, modal logic and other related fields have nothing to do with reality
This statement is the result of a superficial analysis. For starters, all of these formal systems are abstractions of reality. Real and complex analysis are mathematical formalisms to deal with "properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability". If you ever have used a fluid that flowed through a pipe, like in a car or a municipal water system, then real analysis is the mathematical conceptualization of fluid dynamics. Complex analysis and imaginary numbers are used in electrical engineering. And modal logic models epistemic modality. Maybe your reality doesn't include fluids, electrical current, and possibility, but I think I speak for most contributors here by saying it probably should.
There are two approaches to philosophy. One you romp through the field of language spouting this-good, that-bad, this-true, that-false. Or you could apply epoche when ask your questions consider the alternative points of view that may diverge from your intuitions.