There's certainly a lot about the nuTrek technobabble I disliked, and I was not a fan of the plot devices used; I found them to be juvenile. But the only thing I find cringe worthy is the excessive winks to the audience by use of homages to TOS. 1 or 2 is fine(like mccoy/spock banter). but STID especially seemed to just be one long homage to TOS for me. It's like they found as many moments as possible to say "hey guys, look this is star trek!". I know a lot of the audience would laugh, but part way through the movie I just started rolling my eyes, like enough already.
Despite the plot holes and plot devices, I think I would have enjoyed the movies better if when they decided to reboot the roddenberry universe, they left everything from roddenberry's universe there. The role reversal in the engine room for example, for me, was just laziness on the part of the writers.
My wish list for the next Trek movie:
stay away from mega powerful fleet beating ships
stay away from pre existing story lines
cut down on the melodramatic teen angst - drama can be portrayed in adult contexts, they only need to try.