What's wrong with using the standard JDK for Java code?
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I can't think of many actual use-cases where you'd want to use the LLVM JIT over those built-in to HotSpot.
Interfacing with existing LLVM-based systems, writing a very tight inner loop using LLVM where you absolutely need LLVM-like performance, or creating a compiler that targets LLVM using Java would be the main "real-world" use-cases.