My LDS friends in AZ live right on the border and want the border secured and illegals deported. They told me that is not the stance of the LDS church and the closer you get to Salt Lake the more likely members are to support open borders and illegal immigration.
I generally agree with what your LDS friend said - the LDS church does NOT support deportation. One difference I have is that I do not think the LDS church is opposed to secure borders.