Hello,
1, 2. You can create a taxonomy field and enable the admin columns option with Searchable, Filterable settings. Also, turn off the admin column when creating the taxonomy Funnel Category: Meta Box > Taxonomies > Funnel Category > Advanced tab.
Following the documentation
https://docs.metabox.io/extensions/mb-admin-columns/
https://docs.metabox.io/fields/taxonomy/
3. There isn't an option to have a toggle button like that.