Hi 
It is better to just install the same fonts on all machines.
Some fonts, particularly ones on Mac and Windows are copyrighted using
many many different weird licenses.
The standard MS fonts, such as "Times New Roman", Arial, Trebuchet,
Verdana all have a standard very interesting copyright. It's
difficult to know if MS could enforce it through court-action since
those fonts are used so widely elsewhere with little or no attempt by
MS to enforce the copyright. On the other hand it might be unpleasant
to become a test-case against the might of MS. There are a lot of
Free fonts that are closely equivalent and pretty much all distros of
Gnu&Linux contain tons. They usually allow you to add the non-Free MS
ones that are so widely used but it's at the user's own risk.
So, my tactic would be to copy the fonts from your Gnu&Linux to your
Mac to save the hassle of looking through licenses.
Apart from the fonts issue there should be no compatibility issues
between LO on Mac and Gnu&Linux (or between either of those and
Gnu&Hurd, Bsd, Solaris or any other platform LibreOffice works on).
It's only the Windows one that has to be re-written in places so if
you are avoiding Windows then there's no difference between the
version on different platforms. The version on Mac is the same as the
version on Gnu&Linux
Even the version on Windows is not all that different so you'll not
have compatibility issues between Mac and Windows or Gnu&Linux and
Windows.
Even between different versions of LO on the different platforms and
even between different programs on different platforms you will still
find a distinct lack of problems.
It's only MS Office that creates incompatibility between versions,
programs and platforms.
Ironic really because most people out in the world often think the
exact opposite of what is really true. Very few actually try it out
and as soon as they do they find the reality but then become ignored
and labelled as being too geeky.
Regards from
Tom 