You two are ignorant. Allow me to educate you. They can not give "bureaucrats the power to screen people who want to enter the country" they have had it for at least 100 years.
Do these guys think you just waltz up to the boarder and they hand you a visa?
If I were President, I would make a master list of the addresses of all Senators/Reps on the Amnesty bandwagon, I would then have the appropriate agencies go into their neighborhoods, buy any for sale properties and immediately start moving 3rd World refugees into those houses.