I'll preface this by saying that I don't watch his show, but from what I can gather, he is - as you said - pretty polarizing. He seems to have found success with his Carpool Karaoke segment, but outside of that, I don't hear too much from him or his show. His opening at the Grammy's seemed ok, but I didn't watch much beyond that.
Personally, Corden isn't my cup of tea. I loved the Late Late Show with Craig Ferguson and thought Ferguson's take on late night was extremely refreshing. He's really the only one I enjoyed watching from the monologue, to the interviews, all the way to the end of the show. Once the show switched from Ferguson to Corden, I gave it a chance but it wasn't the same for me. I haven't watched since.