I'm generally cool to cold towards most remakes, but only because they so rarely capture the magic of the original work. I was a long time being convinced to give Let Me In a chance precisely on account of the sentiments you mention. It's particularly bothersome when setting, plot and character details are changed to suit the local audience, which to me reads as denying the original work and the culture which birthed it.The thing is though I really don't see the point of remaking these films. The same with Let The Right One In, I just never went to the English remake, because 1) The Swedish original made such and impact that its up there as one of my favourite films and 2) It just smacks of cultural who gives a fuck. Its endemic of a culture that is very scared of subtitles on films. Oh know I have to read while watching a film, get away!
In the case of Let Me In there wasn't much to tie the film to anywhere in particular (so long as there's appropriate scenery) so the change to America is unproblematic. In contrast there's an awful lot tying The Girl With the Dragon Tattoo to Sweden and to its credit the American version is maintaining the setting. One other thing I'd note is that in both of the cases we're talking about here the original work is actually a novel and technically the American films are independent adaptations of those rather than remakes of the earlier Swedish film adaptations.
Ultimately, despite other sympathies I have it's the quality of the work that wins out for me in the end. It just so happens that it's usually the original which is better. ;)