After updating the site configuration to 
        <Location /testSharing>
                Options -MultiViews
                SetHandler perl-script
                PerlResponseHandler U2D::TestSharing
        </Location>

[download]
because apparently MultiViews doesn't work well with the code for updating the logfile.
I'm getting the following output when holding down F5 a few seconds in my browser: 
02-08-2011 13:09:40:037 9209-4216514368: Waiting for lock.
02-08-2011 13:09:40:045 9209-4216514368: Acquired lock.
02-08-2011 13:09:40:045 9209-4216514368: Initializing fruits.
02-08-2011 13:09:40:045 9209-4216514368: Releasing lock.
02-08-2011 13:09:40:045 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:40:443 9209-4216514368: Waiting for lock.
02-08-2011 13:09:40:443 9209-4216514368: Acquired lock.
02-08-2011 13:09:40:443 9209-4216514368: Releasing lock.
02-08-2011 13:09:40:443 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:40:941 9209-4216514368: Waiting for lock.
02-08-2011 13:09:40:941 9209-4216514368: Acquired lock.
02-08-2011 13:09:40:942 9209-4216514368: Releasing lock.
02-08-2011 13:09:40:942 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:41:000 9209-4216514368: Waiting for lock.
02-08-2011 13:09:41:001 9209-4216514368: Acquired lock.
02-08-2011 13:09:41:001 9209-4216514368: Releasing lock.
02-08-2011 13:09:41:001 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:41:014 9209-4216514368: Waiting for lock.
02-08-2011 13:09:41:014 9209-4216514368: Acquired lock.
02-08-2011 13:09:41:014 9209-4216514368: Releasing lock.
02-08-2011 13:09:41:014 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:41:062 9209-4216514368: Waiting for lock.
02-08-2011 13:09:41:063 9209-4216514368: Acquired lock.
02-08-2011 13:09:41:063 9209-4216514368: Releasing lock.
02-08-2011 13:09:41:063 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:41:090 9209-4216514368: Waiting for lock.
02-08-2011 13:09:41:090 9209-4216514368: Acquired lock.
02-08-2011 13:09:41:090 9209-4216514368: Releasing lock.
02-08-2011 13:09:41:090 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:41:119 9209-4216514368: Waiting for lock.
02-08-2011 13:09:41:119 9209-4216514368: Acquired lock.
02-08-2011 13:09:41:119 9209-4216514368: Releasing lock.
02-08-2011 13:09:41:120 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:41:146 9209-4216514368: Waiting for lock.
02-08-2011 13:09:41:146 9209-4216514368: Acquired lock.
02-08-2011 13:09:41:146 9209-4216514368: Releasing lock.
02-08-2011 13:09:41:146 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:41:191 9209-4216514368: Waiting for lock.
02-08-2011 13:09:41:192 9209-4216514368: Acquired lock.
02-08-2011 13:09:41:192 9209-4216514368: Releasing lock.
02-08-2011 13:09:41:192 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:41:222 9209-4216514368: Waiting for lock.
02-08-2011 13:09:41:222 9209-4216514368: Acquired lock.
02-08-2011 13:09:41:222 9209-4216514368: Releasing lock.
02-08-2011 13:09:41:222 9209-4216514368: I like to eat apple, banana, 
+peach.
02-08-2011 13:09:41:253 9209-4216514368: Waiting for lock.
02-08-2011 13:09:41:253 9209-4216514368: Acquired lock.
02-08-2011 13:09:41:253 9209-4216514368: Releasing lock.
02-08-2011 13:09:41:253 9209-4216514368: I like to eat apple, banana, 
+peach.

[download]
That looks reasonably like the result you wanted, so I wonder what's happening on your end that makes things different.
Oh, and I changed your logTestMessage a bit, since / is not a writable location for apache (hence the 'permission denied's I was getting). 
sub logTestMessage {
    my $message = shift;
    my $tid = APR::OS::current_thread_id();
    if(open(FILE,'>>','/var/www/testSharing.log')) {
        print FILE $time{'dd-mm-yyyy hh:mm:ss:mmm'}.' '.$$.'-'.$tid.':
+ '.$message."\n";
        close(FILE);
    } else { print "Error opening file: ".$!."\n"; }
}

[download]

In reply to Re: Threaded MPM Sharing Variables (this time with complete test code) by Neighbour
in thread Threaded MPM Sharing Variables (this time with complete test code) by busymeister

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