^^ He'd be a good choice. I was also thinking of Michio Kaku.
Again, the key to making a new version successful is not merely to try to imitate the original, but to do a modern version of the same sort of thing it did. It's not about copying Serling's look or his writing style or whatever -- it's about following his lead and creating an anthology of intelligent, literate fantasy stories that serve as insightful allegories about the issues that face our world today. Many of which are adapted from prose stories by some of the top SF/fantasy authors of the day, often by the authors themselves. And which are done by talented, accomplished actors and feature solid production values, visual and makeup effects, and music.
What I said was that stylized writing is not a bad thing-- in fact, it's a good thing. Aside from that, there are several ways that one can successfully approach a continuation. One is as you say, to utilize contemporary styles (e.g. bland color palette, shaky cam, Bendis-style dialogue) to make the concept relevant to a contemporary audience. The other is to do an homage, to use the distinctive writing and cinematography of the original to tell contemporary stories. On an artistic level, either could work, although the former is more likely to be financially successful.
Since someone has mentioned "Palladin of the Lost Hour", I'd also like to toss it "Message from Charity", "The Star", and "The Last Defender of Camelot" as great segments of the Eighties incarnation of TZ.
"The Star" is one of my favorite stories and I was pretty happy with the adaptation, although they did soften up the ending a bit.