I don't know where you got your information from. It's half true. No, immigrants do not have abysmal rates of employment. The unemployment rate for foreign-born persons in the United States was 4.1 percent in 2017 compared to 4.4 percent for native-born persons (Dept of Labor, Labor Force Characteristics of Foreign-born Workers Summary).
Immigrants do use more entitlement than native-borns, but that's because immigrants tend to have more children. Given how low the fertility rate for native-borns is, the entitlement that immigrants use to bring up their children probably pays itself off once the children grow up and contribute to the economy.