So Adobe has this knowledge base article – Install Adobe AIR Linux 1.5 on 64-bit Linux distributions – to describe how to install Adobe Air on 64 bit linux systems. Do yourself a favor – just install wine from the standard repositories, and then execute the last line in the instructions:

sudo cp /usr/lib/ /usr/lib32

Wine already sets up a complete 32bit compatible environment, so you don’t have to worry about manually breaking out shared libraries.