Once you announce an amnesty there will be flocks coming claiming they were here all along, They're undocumented what is there to deny.
If deporting them is too big of a task, So is them gifting them amnesty it will be an utter mess.
And we did that already. It was the right thing to do last time. They knew the risk. "Allowed them to stay", now we need a statute of limitations on how long their feet are on the soil until we can't go after them. It's their fault And the government, but it ain't my fault. If you change the laws to fit criminals you change the criminals into law makers. The law was the law regardless of whether they were caught and kicked out. Some were, that didn't seem to deter the rest .It was more of an overpowering bum rush "they can't catch all of us". Our disproportionate resources don't need to change to accommodate them.
Not to mention them holding a grudge politically against one side's fair opinions, do they get banned from voting for life?( I guess we'd need voter ID's then)
PS not to mention as your ancestors ,the legal option was there for them to apply for all along.