I'm not commenting on whether that's right or wrong, but it certainly suggests that the left favors open borders.
[1] https://www.politico.com/story/2018/07/11/immigration-ice-ab...
So far as I can tell the wish for the abolition of ICE is primarily tied a desire to eliminate an unrestrained, rogue, abusive policing org that's showed serious cruelty and abuses of civil liberties. I'm ok with eliminating ICE since they play such a harmful role such as they exist today, their leadership and members should all be fired with many jailed.
If people were calling to abolish the Border Patrol that could be construed as supporting open borders. Calling to abolish ICE is calling out corruption, abuse, and injustice in our immigration enforcement far from the border.
The borders are policed and enforced by Customs and Border Protection (CBP), specifically Border Patrol.
This is technically true and often-cited, but it's really misleading. Its 'creation' was more of a restructuring.
When ICE was created in 2003, it absorbed many parts of the United States Customs Service (founded 1789), the Immigration and Naturalization Service (founded 1933), and the Federal Protective Service (founded 1971).
Before ICE, the INS was responsible for arresting and deporting those who violated immigration laws.
All this aside, I'm sure we can agree:
(1) there's a correlation between (A) willingness to illegally immigrate and (B) the risk of deportation after crossing the border.
(2) that an increase in illegal immigration without governmental response would more closely resemble the concept of open borders.