Step one

Check your Java Preferences Application to make sure you have the latest Java Apple provides via software update installed.

Java Preferences Window

Step two

Right click the Minecraft application, and select "Show Package Contents".

Go to "Contents" and open the Info.plist file. I am using xcode, so it looks like this:

Minecraft Info.plist

JVMOption values stand for the JVM Heap size. Increasing it to min 1024M max 2048M will bring you performance benefits. Warning: Make sure you have at least 2G Memory :-)

Step three

Copy /System/Library/Frameworks/JavaVM.framework/Versions/A/Resources/MacOS/JavaApplicationStub to /Applications/Minecraft.app/Contents/MacOS/JavaApplicationStub replacing the Minecraft file.

Step four

Enjoy your 64bit minecraft. The warning about the "far" render distance needing a 64bit java is now gone.