The solution is for the beneficiaries of the labor of the illegal immigrants to pay for the added cost to the social system. Thus the employers of illegal aliens should pay a system development tax for each of their illegal employees. One essential advantage of this approach over some Federal or State level approach is that it can be made appropriate for the locale. Farm areas may not want to have any tax, whereas urban areas might want to charge a lot.
I like this approach.
I have kicked around the notion of doubling the business tax rates and then offering a 50% tax break to any company that certified that that they did not hire illegals and that signed-up and agreed to use the Optional Pilot Program for Social Security Verification for all of their hiring. They would also agree to random employment audits.
This would have the impact of transferring the social costs of illegals to the businesses that hired them and it would make American citizens less costly and therefore the most desirable employees even if they required higher wages. Illegal aliens would be the employees of last rather than first resort. One final benefit of this scheme is that it would put the IRS in charge of enforcement. There is only one part of our Federal bureaucracy that really is good at enforcing the law and it is the IRS.