They don’t think so. They think any short term deportation program will crash the economy.
As pointed out, controlling the border, coasts, and visas is the only thing needed to fix this. We already have everything else in place that is necessary.
I don’t favor a door-to-door search for illegals, so the only realistic plan is simply attrition.
They don’t want to lose the taxpayer subsidy for every artificially low-priced illegal they hire. So of course they project catastrophe for anything that threatens that.