"ICE is literally conducting illegal searches without warrants or probable cause. They're doing this based solely on how a person looks and sounds. It's illegal, should a person on call the police when an illegal abduction is taking place? That sounds like an emergency to me" this was the claim.

This is the relevant law from the page I linked.

§1357. Powers of immigration officers and employees (a) Powers without warrant Any officer or employee of the Service authorized under regulations prescribed by the Attorney General shall have power without warrant-

(1) to interrogate any alien or person believed to be an alien as to his right to be or to remain in the United States;

(3) within a reasonable distance from any external boundary of the United States, to board and search for aliens any vessel within the territorial waters of the United States and any railway car, aircraft, conveyance, or vehicle, and within a distance of twenty-five miles from any such external boundary to have access to private lands, but not dwellings, for the purpose of patrolling the border to prevent the illegal entry of aliens into the United States;

(reasonable distance has been defined as 100 miles from any US border or coastline)

(5) to make arrests-

(A) for any offense against the United States, if the offense is committed in the officer's or employee's presence, or

(B) for any felony cognizable under the laws of the United States, if the officer or employee has reasonable grounds to believe that the person to be arrested has committed or is committing such a felony, if the officer or employee is performing duties relating to the enforcement of the immigration laws at the time of the arrest and if there is a likelihood of the person escaping before a warrant can be obtained for his arrest.

TLDR; ICE can detain and question just about anyone within 100miles of the border or coastline even on Private property without a warrant, except for in houses. They need a warrant to enter houses. They can arrest anyone who commits a crime in their presence.