Depends on the practical interpretation of legalization... if you mean pathway to citizenship, no thanks; if you mean a pathway to a green card, maybe...
There is a yuuuuge moral hazard to anything even remotely close to amnesty for illegal aliens being granted citizenship, if said illegal aliens have a sympathetic / no fault reason for being here when they were minors but just because your dad stole a car and gave it to you and you've been driving it thinking it is your own doesn't mean you really own it.
The deal that needs to be made between Globalists/Nationalists, Liberals/Conservatives, etc. on the intertwined issues of border security, immigration enforcement, labor market saturation, social services eligibility, employer culpability, political & economic collusion, etc... is one where for every concession to one side is one where the other side gets a concession to a second order effect of the problem/phenomena being acted on...
For example(s):
Dreamers/DACA - Ok, Leftists get legal status (green cards) for the Dreamers but then Nationalists get strong Voter ID/Voter Integrity laws/systems as the underlying and not unjustified fear is that Leftists are trying to rapidly changing the voting electorate to ensure permanent national dominance by skewering key states in the SW USA overnight with millions of new citizens who can sponsor family based migration to again continue to skewer the electorate rapidly.
Mercy & Opportunity given to a vulnerable group, Vigilance & Integrity over the political process to the citizens.
Border Security/Wall - Nationalists want a wall/border security to prevent illegal and/or ill-intended crossings and to emphasize sovereignty/security but Liberals/Libertarians want an open/permissive border for humanitarian and economic reasons. Ok, give the Nationalists/Conservatives the border/port/visa security enforcement they want but then give the liberals/libertarians/businesses/politically inclined US states the to ability to sponsor X number of aliens on visas by application and assumption of financial responsibility. What is so damn infuriating to Nationalists/Conservatives is that entities like agri-business, some hi-tech industries, hospitality industries want the cheap labor of large unskilled alien populations with questionable legal status preventing unionization and agitation for better compensation but not the responsibility for inherent costs that that population will bring with them (strain on social services, criminality, disruption of labor markets, etc...). If business want unlimited H1-B visas, sure... they cost 20% per year of the alien's salary in fees to directly fund social programs for American Citizens to address the effect they have on American workers. If your worker overstays his/her visa then no worries, to get them here you posted a 20k bond to cover apprehension and removal for illegal overstay, we'll just give that to whatever local LE agency picks them up and delivers them to ICE. You (individual or US state) sponsor an alien for humanitarian reasons, sure and you fund their needs until they are self-sufficient and if they can provide for themselves, that alien can apply for a green card or citizenship.
Security & Sovereignty given to a wary population, Opportunity & Responsibility given and assigned to those so inclined.
Other examples are there but this method of honest compromise would be IMO necessary to begin lower the temperature, honestly admit problems/causes/solutions/costs to vexing modern problems and acknowledge (at least) tacitly that our union is not exactly strong but sustainable if we give each other space and some autonomy... blue and red states stop trying to infiltrate, warp and/or displace the economies, culture and populations of each other.