Not exactly true, here's a post on the subject from Instapundit, the largest conservative blog on the net:
WELL, THIS IS STUPID: DHS Spox: Trump Muslim Ban Includes Green Card Holders. It’s fine to be more careful about admitting people from countries that are major terror exporters, but Green Card holders are permanent legal residents — they’re not “admitted,” they’re returning home. If there’s a problem with green card grants to people from those countries, it needs to be addressed systematically, not simply by stopping people at the border. This is a debacle, and I’d be very interested in knowing who actually drafted the order.
WELL, THIS IS STUPID: DHS Spox: Trump Muslim Ban Includes Green Card Holders. It’s fine to be more careful about admitting people from countries that are major terror exporters, but Green Card holders are permanent legal residents — they’re not “admitted,” they’re returning home. If there’s a problem with green card grants to people from those countries, it needs to be addressed systematically, not simply by stopping people at the border. This is a debacle, and I’d be very interested in knowing who actually drafted the order.
https://pjmedia.com/instapundit/255787/#respond
I think you'll be surprised at what people think on this issue who support the temporary ban.