Sounds like a case of the vocal minority, then.
Path to citizenship is really the only practical solution... most illegals are basically here to make a life for themselves, and that's about it... there's some that are problematic, and those people most definitely need to be deported, but thats not a whole lot different than citizens who obey the law, and those who commit other acts of crime.
As far as securing the border... I have no real practical answer for that one. A wall, as discussed, is kinda dumb... you could throw more people at the problem, but when there's a will there's a way. Maybe the real solution is to better penalize those who employ illegals, to cut back on "demand". It's gonna be a tough problem as long as Mexico is "suffering" relative to its northern neighbors, though.