Inmates are also "people." However, we confine them and, sometimes, even execute them.
Do you have any authority showing that the left tolerates illegals in order to get votes? I have my doubts on this.
It is a convenient myth that illegals do the work that citizens don't want to do. Citizens would happily take all those jobs were they properly compensated for them. For instance, citizens would do farm work for decent pay, and the price of the products would not go up that much. Moreover, farmers could switch to produce that lends itself to automated harvesting, and leave the production of produce requiring hand labor to Mexico and similar countries. Construction work used to produce prized jobs. However, since builders found that they could underpay illegals, 42 % of such jobs go to illegals. Etc.