Is there a reason why you want to go with the 32-bit OpenJDK and not the 64-bit? Usually, the only reason to go with 32-bit is that your Java app needs to interact with native libraries that are available only in 32-bit.
You could try installing 32-bit Fedora or RHEL in a VM and then copying the JDK directory to your 64-bit machine (I have copied JDK directories between machines for years without issue- that's how I can still run 1.3.1!). Of course this will only work if you have 32-bit versions of the various system libraries. (That is sort of a given on Windows, not sure if a 64-bit Linux install would have the 32-bit libraries also.)