No. More like a Gomorrah for that. You see, spacemonkey, immigrants are the LEAST likely group of people to be homeless in America. Our homeless are actually homegrown, born the USA types who are either nuts or addicts or both, generally speaking. They aren't the sort who have the kind of drive and ambition and work ethic to leave behind everything they know and set out for a new land to make a go at something better. They're more the type to live in a cardboard box and call it good enough.
Immigration lowers our homeless rate, spacemonkey. Learn to add and subtract.