Some people are anti-immigrant. Many others are anti-illegal immigrant, including myself.
I favor very liberal immigration laws since immigrants have immeasurably bolstered American culture and society. Asylum seekers should be welcomed with open arms, and their claims should be verified to preserve the integrity of the asylum system. We as a nation have the inherent right to control our borders as a matter of democratic policy (as all other nations do). There are legitimate national security (and economic) concerns with small numbers of those who would do harm to our country.
The alternative to reasonable restrictions on immigration is open borders, which I think would lead to poor outcomes.