"Is all of" view search doesn't work with the module "Better exposed filter"
No, It's a bug with the Better Exposed Filter module. From the looks of it, something is causing a '0' value to be added as a part of the WHERE clause. 

You can see this in action by toggling the Allow multiple selections filter option; when the option is off you can select a non - Any - value to filter the view as expected; when the option is on any selection appends '0' value to the filter. 

From looking at your linked issues, they look potentially related but not the same. You should look through the BEF module issue queue and if it's not posted yet, post it there to be reviewed.