This preprint presents a strategic doctrinal analysis of Operation Epic Fury and its counterintelligence and counterterrorism implications for United States military installations and critical infrastructure in Europe, the continental United States (CONUS), and Israel. The study examines escalation not as a sequence of kinetic events but as a layered, distributed environment in which overt military engagement coexists with cyber reconnaissance, economic adaptation, proxy-enabled positioning, and cognitive-domain pressure. Particular attention is given to the structural vulnerabilities of alliance systems, defense industrial ecosystems, legal architectures, and transnational supply chains under conditions of sustained distributed strain. The analysis introduces and formalizes Institutional Counterintelligence Analysis (ICA) as a framework that reconceptualizes counterintelligence from actor-centric penetration detection to architecture-centric institutional resilience management. ICA integrates convergence-threshold logic, cross-domain anomaly synthesis, and measurable resilience variables into contemporary doctrine. The paper evaluates multiple escalation trajectories, including distributed micro-incident activation, hybrid economic positioning, and overt multi-domain infrastructure targeting. It argues that in distributed conflict environments, institutional coherence functions as a strategic asset whose preservation determines long-term stability more decisively than short-term kinetic outcomes.