I think it is possible, and if anyone can do it, it's Abrams.
I agree that Star Trek needs to be parodied more in order to catch on. Seth MacFarlane is a Star Trek fan. Maybe Family Guy should do a Star Trek episode or movie recreation. I bet he would do it.
But I think the "fanatics" do need to tone it down a little bit. Going out into public dressed as Captain Kirk is a bit odd. And arguments over minutae are pointless...