Welcome to the forums,
It would be far better for you to run Zimbra on a separate virtual machine or box.
Zimbra uses it's own customized instances of a serious collection of software packages - OpenLDAP, MySQL, Apache, Tomca (4.5 prior) Jetty(5.0), Postfix, Lucene, Verity, ClamAV, SpamAssassin, DSPAM (though off by default) AMaViS/Amavisd-new, Aspell, James/Sieve, Perdition (4.5 prior), NGINX(5.0), etc.
VMware &
VirtualBox are a common one's -
Xen has some quirks but speed wise it's rather good - I've found Qemu & Parallels to be a little slower.
But if you want the fun...
Zimbra with Apache using mod jk - mod proxy - mod proxy ajp - Zimbra :: Wiki ZimbraApache - Zimbra :: Wiki
Older 4.5 & prior docs (5.0 uses jetty):
Using Tomcat with Apache (mod jk) - Zimbra :: Wiki Hosting other sites with Zimbra - Zimbra :: Wiki
There's a thread on MySQL around here somewhere...but it ain't a pretty process.