The tone they put in is an eclectic mix, and as Charles Phipps said about does have a "crazy affectionate" feel when all is said and done, but it as a complete package works wonders (IMHO). Comedic with serious moments, exploring a previously un-dealt paradigm (after first contacts), each character feels well-rounded and has their own foibles... I tried sitting through a certain youtube channel and the guy was so stuck on his insular position that he didn't notice other scenes that show otherwise. I wouldn't say he's totally wrong, but he's definitely not totally right or anywhere near it either. YMMV.
The humor with pointing out Trek's creatures feels more like a loving homage than hateful or disrespecting the fans and they're doing stuff that goes well beyond what prior Trek has done or could do. The premiere clearly had a moral or two, told well, and without any cynicism. Not sure where people are perceiving that idea, but I'm not an expert on that.