I can see how people empathize with that but on the flip side I've known plenty of immigrants who went through the process the right way, waited months or years, gone through naturalization process and did the same to get get their families here.
They, along with others still in line feel cheated by the people entering illegally / abusing the asylum claim systems. If you're escaping a bad situation in a central or southern American country, and then pass through 4-5 countries to get here, you're not seeking asylum, you're an economic migrant no different from immigrants from India, China, etc all seeking a better life.
No other developed country would or should allow people to illegally enter and skip the legal process.