I would use a views row template override for this. Do the following in a Development site first.
1) In the view, expand the Advanced options and click on the Theme: Information link. This displays all the available theme template suggestions.
2) Under the heading "Row style output" you will see all the possible template suggestions. Which one you override depends on your needs, but the last listed is the most specific so I would start there. Select it with your cursor and copy the file name.
3) Open this file in your code editor: sites/all/modules/views/theme/views-view-fields.tpl.php
4)Save it as the most-specific suggestion (the value you copied in step 2) and save it to your theme's template directory (e.g., sites/all/themes/yourtheme/templates or sites/all/themes/yourtheme/templates/views)
5) Now you can edit the template (the one we just saved to your theme). You can use a combination of html and PHP to achieve the exact markup and logic you want. Generally it's best practice to not code a lot of logic into your templates (use preprocess functions instead), but simple logic like checking if a field is present or has certain values is fine to include in the template.
There are many different ways to do this, but here is an example (change field_custom_boolean to the machine name of your custom global field ...
<?php foreach ($fields as $id => $field): ?>
<?php if (!empty($field->separator)): ?>
<?php print $field->separator; ?>
<?php endif; ?>
/* if custom field is present and set to 1 */
if (isset($content['field_custom_boolean']) && $fields['field_custom_boolean'] == '1'): ?>
<?php print $field->wrapper_prefix; ?>
<?php print $field->label_html; ?>
<?php print $field->content; ?>
<?php print $field->wrapper_suffix; ?>
<?php endif; ?>
<?php endforeach; ?>
6) Save file and flush all caches. Now when you check the view Advance:theme information settings, you should see your template override listed in boldtype. When you load your view it should only display rows for records where the custom global field is set to 1.
For more info on Views templates, see: