There has been a big push to reintroduce humanity into the border policy, but I don't know if there is a big push to allow for more undocumented immigration in the USA.
The DREAM Act is about addressing the existing population within the USA. Getting rid of having kids in cages doesn't exactly mean letting those kids in the country, but processing them quickly and humanely while under Federal custody; that processing includes likely deportation.
Most support for immigration I've seen has been in increase openings for legal immigration or increasing the acceptance of refugees.