I have no experience with Macs, but if Macs use WINE to run Windows games, then I'll speak with my experience with WINE on Linux. WINE always seems to be outdated in its support of DirectX and other Microsoft apis that are updated on a per-OS basis. Even if it runs some DirectX 11 games, others are likely to just flat-out crash.

Have you tried the 32 bit client and launcher? They are still being shipped out to computers, but without technical support.

Also, the launcher, unlike the client, makes heavy use of Internet Explorer apis. Have you tried one of the various third party launchers around the web? I don't think they're against the TOS because they don't really interact with the game at all - they just log you in and launch the client.