Ok, I think we need to be clearer on what you mean by binaries. OS X can run many CLI Unix apps (inlcuding linux), but they must be compiled specificaly for OS X. This is relativly easy because most Unix apps that you can easily download, also come with the source.
Now if you are talking about getting binaries like quake or maple or something from linux and then trying to run it from OS X, you are going to be disapointed. They are not compatable, and even use a diffrent binary format, mach-o instead of ELF.