Ignoring LIFTICVSMAXIMVS's bigotry, I have known many immigrants, only one was white. Actually from Australia.
To answer the question first posed, I am no expert, but I don't think minor infractions count. Oh and if you want to sneak into the country, go south, not North. You will not make it across the Canadian boarder, only the southern boarder is easy to get across.
In one community people living in Mexico were actually sending their children across the boarder to go to school here. Kids walked across the boarder by themselves every single day, and walked back every night.
America has an extremely ignorant immigration system. Roadblocks are all over the place if you want to get in legally, and you are actually rewarded if you come here illegally. The system needs a serious overhaul to correct that, make it easier to come here legally, and to work here legally.