I'd cut off the government spigot first. As far as going after employers, that could be the next step but at least employers getting an economic benefit from this is far preferable to taxpayers getting stuck with supporting illegals.
IF we need to improve methods for these people to come LEGALLY, then that needs to be improved.
NO rewards for law breakers.
YES!!
YES!!
YES!!
Maybe get rid of income taxes, FICA and minimum wage so that the illegals have to compete on a level playing field? Oh, and start treating 'illegal' like 'criminal'.