At this point, no. I went across about a month ago and forgot mine, no problem. Although in today's termoil, I always carry mine down there. All it takes is for some scare to happen and you might be stuck.
Funny, not so funny story: Had a friend take a Canadian citizen down there for lobster and drinks about 10 years ago. Got to the border and they asked citizenship, "US, Canada." They would not allow the Canadian to come back through. The US citizen had to drive back to OC to get their passport. For me, that's wayyyyyyy to much time in TJ.