What's the big deal with Illegal Immigration?

Now I know I am going to hit a nerve with this one, but does anyone else seem to understand the word "Illegal"? Last I checked it meant "Prohibited by law" (Against the Law). I have no problems with differnt people wanting to come to the USA to live, but do it the right way. My wife is from Japan and I paid the $3000+ in attorney fees and paperwork to get the visa and eventually the green card. It is so frustrating specifically in Arizona where this is a major issue when I see illegal immigrants from Mexico rioting agaist the legal system because THEY broke the law. If you don't like our rules then don't come. Why did they come in the first place? They seem devout to thier county, why not stay there? No, they come here illegally and then want to live off my tax dollars and if that was not enough want to change my language and hertiage for them! The United States of America is not the new Mexico! If you want to come - do it the right way PLEASE!