Mission accomplished: It took weeks, but I've completed a full review of the entire Star Trek movie series (with a quick detour to TNG: S1E1 after Nemesis) in order to better appreciate the reboot.
In my opinion, the new concept is actually much better than I'd previously thought. Before, I liked the visuals and action of the 2009 film, but lamented what they did to the Trek universe. Now I think it was exactly what the series needed in order to dig itself out of the rut of films directly based on shows long before cancelled.
I love the reverence for the old films combined with the freedom to change just about anything. It requires a marginal effort to ignore plot problems and enjoy it for what it is, but that's Trek for you.