This paper presents MobiLLM, an agent-based AI framework for fully automated end-to-end threat mitigation in 6G open-access radio (O-RAN) environments. MobiLLM orchestrates security workflows through a modular multi-agent system based on Large Language Models (LLMs). The framework features a threat analysis agent for real-time data classification, a threat classification agent that maps anomalies to specific countermeasures using Retrieval-Augmented Generation (RAG), and a threat response agent that securely operates mitigation actions via the O-RAN control interface. Built on a trusted knowledge base, such as the MITRE FiGHT framework and 3GPP specifications, and equipped with robust safety guardrails, MobiLLM provides a blueprint for reliable AI-based network security. Initial evaluations demonstrate that MobiLLM effectively identifies and orchestrates complex mitigation strategies, significantly reducing response latency and demonstrating the feasibility of autonomous security operations in 6G.