Your shop links etc are in the ezpage div - home and others are in the navmain div...this display is ordered and controlled in the tpl_header.php file...
To accomplish what you seek you would have to move one or the other's code into the same div something like this if navmain was chosen(I did not check this for function):
Code:
<!--bof-navigation display-->
<div id="navMainWrapper">
<div id="navMain">
<ul class="back">
<li><?php echo '<a href="' . HTTP_SERVER . DIR_WS_CATALOG . '">'; ?><?php echo HEADER_TITLE_CATALOG; ?></a></li>
<?php if ($_SESSION['customer_id']) { ?>
<li><a href="<?php echo zen_href_link(FILENAME_LOGOFF, '', 'SSL'); ?>"><?php echo HEADER_TITLE_LOGOFF; ?></a></li>
<li><a href="<?php echo zen_href_link(FILENAME_ACCOUNT, '', 'SSL'); ?>"><?php echo HEADER_TITLE_MY_ACCOUNT; ?></a></li>
<?php
} else {
if (STORE_STATUS == '0') {
?>
<li><a href="<?php echo zen_href_link(FILENAME_LOGIN, '', 'SSL'); ?>"><?php echo HEADER_TITLE_LOGIN; ?></a></li>
<?php } } ?>
<?php if ($_SESSION['cart']->count_contents() != 0) { ?>
<li><a href="<?php echo zen_href_link(FILENAME_SHOPPING_CART, '', 'NONSSL'); ?>"><?php echo HEADER_TITLE_CART_CONTENTS; ?></a></li>
<li><a href="<?php echo zen_href_link(FILENAME_CHECKOUT_SHIPPING, '', 'SSL'); ?>"><?php echo HEADER_TITLE_CHECKOUT; ?></a></li>
<?php }?>
</ul>
<!--bof-header ezpage links-->
<?php if (EZPAGES_STATUS_HEADER == '1' or (EZPAGES_STATUS_HEADER == '2' and (strstr(EXCLUDE_ADMIN_IP_FOR_MAINTENANCE, $_SERVER['REMOTE_ADDR'])))) { ?>
<?php require($template->get_template_dir('tpl_ezpages_bar_header.php',DIR_WS_TEMPLATE, $current_page_base,'templates'). '/tpl_ezpages_bar_header.php'); ?>
<?php } ?>
<!--eof-header ezpage links-->
</div>
<div id="navMainSearch"><?php require(DIR_WS_MODULES . 'sideboxes/search_header.php'); ?></div>
<br class="clearBoth" />
</div>
<!--eof-navigation display-->