> What is the policy and vision of those who oppose any deportation of illegal immigrants
The United States has a hilariously complicated historical relationship with immigrants.
* They are constantly the scapegoat of economic hardship, for one.
* We pendulum back and forth over the decades and even centuries on "immigrants good" and "immigrants" bad[0]
* In our regular swinging back and forth; and *ESPECIALLY* regarding people who were children when they came to the States, we have special-cased and threw under the rug literal millions of people without creating robust systems in place for the now 40-, 50- or 60-year old people who have literally built lives here that were brought over by their parents at ages 2... 3... etc. For those people especially, it's not a "go back to where you came from" sort of easy (though rude) statement. They have no where else. They lived here their whole lives and we've swept them under the rug. It is a national failing on our part.
* We regularly and randomly grant clemency to various illegal immigrants that further perpetuates the cycle of increasing our numbers of legally dubious presences of people in the US.
ALL OF THIS creates huge and complicated situations in the current political climate where we can't give naturalization/citizenship/whatever to these multiple millions of people because it would be rude or unfair or something.
Long story short, the United States ignores our real immigration situation; and, has for so, so, so long that not a single solution to it outside of pure clemency will result in anything but destroyed lives; and while some people may say (ignoring ALL the logistic ridiculousness / literal genocide that it may cost) "it's a bandaid we need to rip off" and ruin the lives of the 10s of millions of people we would shove back and the 100s of millions or more people that would be directly impacted by their deportation, others remember that each of those 10s of millions of people are a person with lives and the value inherent in every person, and should be treated as such.
Addendum: to answer the question directly, I would argue: immediate green-card status or similar to all Latin American individuals who have stayed here long term under DACA or any of the other previous status-dubious systems we've placed them under and either considering their existing time as time spent for citizenship purposes, or immediately starting their "Time in US" potential citizenship timeline. We can choose to close the borders again later. I care less about that than I do the many that are already here in their state of limbo.
[0] To be very clear, when politicians, etc, say immigrants, in almost every circumstance, it's code for Latin American immigrants. If someone says something along the lines of "Oh, I immigrated from Ireland" or "my family is German", there's an internal thought from many Americans of "Oh, we're not talking about you" or "oh, but you came here legally", even if most illegal immigrants are Visa overstays.