“Stranded in Mexico without ID, a down and out Mexican American must sneak back over the boarder if he’s to achieve his dream of seeing his beloved East L.A. again” (A logline example for the movie “Born in East L.A.”)

Havn't seen this one, so can't make any good comments. It does sound very good a film, is to see LA again all he wants, really?

Looking at the IMDb, it is interesting because the description is one that is closer to what we consider a logline and not a blurb, but still a bit too vague.
That said, if you're looking for a polish on your logline, I think the IMBd description describes an inciting incident while yours doesn't.
It is:?When a native-born American citizen of Mexican descent is mistakenly deported to Mexico, he has to risk everything to get back home.

I haven't seen the film, but I think a combination of your version and the IMDb info would make for a shorter logline:?After he is deported to Mexico, a Mexican American must sneak?over the border so he can return to his beloved home in East L.A. (25)