We present CrossOracle, a production-deployed spoken dialogue system for real-time Hinglish (Hindi-English code-switched) voice interaction across eleven Expert Persona identities. The system addresses the latency bottleneck of cascaded ASR-LLM-TTS pipelines through three contributions: (1) a parallelized First-In-First-Stream TTS worker that overlaps synthesis with ongoing LLM generation, mathematically ensuring gapless audio playback; (2) a language-aware semantic boundary heuristic that flushes text chunks at Hindi danda and Latin punctuation boundaries, preserving prosodic integrity across code-switched utterances; and (3) a deterministic AbortController-based barge-in protocol that resolves user interruptions in under 1 ms. Empirical evaluation of live conversational logs demonstrates a mean TTS Real-Time Factor of 0.107 and a 100% barge-in resolution rate. The live system is deployed at crossoracle.io and supports persona switching, custom persona creation from natural language descriptions, and robust Hinglish ASR error tolerance via a Devanagari ratio mishear filter. The demonstration invites attendees to hold unscripted Hinglish conversations, stress-test the barge-in protocol, and construct novel personas on-the-fly.