No, I don't think so. There's a set of people who consume media that deliberately and consistently conflates "immigrant" and "illegal immigrant", and they just can't disambiguate what happens to one from what happens to the other.
Do you separate them from their kids, and send the bunch to a prison? That is insane.
Because from what we hear about ICE, that is exactly what is happening... when they don't just kill them outright.
Also a tenant in your situation would most certainly have rights to not be "unceremoniously kicked out" - both a time period before they'd even be legally expected to leave, and also legal protections against being forcibly removed even if they didn't leave at that time.