I thought you added your own "tabs". Now, that I look at your page, those tabs are coming from a modification correct? The code I was showing was applicable to your own php plugin code. If they are not your own "tabs" ignore my last post for now.
All of your mods will use similar hooks to plugin to "memberinfo.php" to render the "MEMBERINFO" template.
The hook will be "member_complete". If you go into your "ACP - Plugin Manager" you can sort on hooks (at the top of the table) and find all hooks that use "member complete".
Now one little trick that might work is modify the hook execution of this group of plugins in a descending order. Normally the hook execution is "5". Note, this will only work for plugins and not vbulletin "tabs" -- unless they are plugins, like blog or cms.
For example:
wall (execution order 6)
mentions (execution order 7)
and so on ...