The secondary links are as mac correctly writes only available in page.tpl.php, but if I understand you correctly, the best solution is not getting the secondary links into your view.
With your theme, the secondary links, will most likely be printed out where they should, regardless of what is being displayed, be it your views, nodes, the front page etc. Views are displayed and everything else you render, is wrapped in the page template, that controls where menus are located, regions and other fun stuff.
Now, if you don t want to alter this, the location of the menus, their styling and this stuff, you shouldn t be printing the secondary menu in your views template, you shouldn t be doing anything with it at all.
The solution is simple
It s using something that mac mentioned but in a different way: preprocess function. These functions are used to in your template.php file, to add some logic to your variables. You can alter variables or remove them altogether. What I would do, would simply be to remove the primary links, by setting the value of $primary_links
to an empty text string.
This would effectively remove the primary links, so only the secondary links are displayed. You could also display the secondary links as the primary, but this might cause confusing to your users. You just need to add some logic to control when this should happen and you are set.