I agree with you. The fence stops the flow at the source, and then an Eisenhower-like process can do the interior enforcement.
An Operation Wetback type effort like Eisenhower used will not work when the illegal aliens are scattered all the country. We need to shut off the job magnet and make it as unwelcoming as possible to stay here. Attrition thru enforcement is the way to go. The choice is not between a blanket amnesty and mass deportation.