If we throw out the illegals, who work for low wages, prices will go up for a lot of goods and services. We don't need to hire 300,000 people to guard the border; we can just build a huge wall with barbed wire across the whole border. If we reduce unemployment back down to 6 months, people who don't find a job after 6 months, will just go on welfare, food stamps, and medicaid, so that will cost money as well.
If you reduce pay, you can offer customers lower prices on your goods and services, thereby increasing demand.