First of all, you have to realize that many (not all) American gay men like to talk about Hollywood actresses because we love the movies and the women are the most glamorous figures in them. It has been so basically since the star system was created in the 1910s (and it even precedes that to the days of stage stars). So that's no big news. You would find straight men talk obsessively about male sports stars, and have the same strong opinions about them as the posters do here about Hollywood actresses.
I don't agree at all that most Dlers hate all the women you've named. Some of them I agree we do, but by no means that ridiculously exaggerated long list you've just posted.
Gwyneth Paltrow: Yes, we do hate her by and large. But I don't think that's singular to DL--she is one of the most widely hated celebrities on the Internet. And given her propensity for obnoxious public statements about how people should live their lives, I don't think people's strong reactions to her here or elsewhere is surprising.
Anne Hathaway: That just started here largely in the last six months, and much of it has been an effort to tweek the wildly overenthusiastic "Les Miserables" fangurls like Lynn Stairmaster
Reese Witherspoon: There is a lot of anger directed here, which I've never much understood. I think it has something to do with the fact that she often plays "good girl" roles and because she is not conventionally beautiful, and was married for a long time to ryan Phillippe who is a lust object for many
Sarah Jessica Parker: I think people mostly liked her until the popularity of "sex and the City" created a marketing industry around her and touted her as beautiful. Many gay men do like female glamor, and they get angry if the cultural industry touts as attractive someone they find plain or ordinary. The fact that Parker marketed herself so aggressively during the 00's made her image seem omnipresent, and it felt hard to watch TV or read magazines without having her image shoved down your throat.
Dakota Fanning: She's never been "hated" here at all--that's a misreading. There were long running jokes about her being a bitch to other actresses, but that had much more to do with the fact that she was a sweet little child star who seemed to be in everything for so many years. The same thing would have happened for any blonde cherubic child actress who appeared in everything.
Lea Michele: There is a surprisingly vocal group of people who watch her show who dislike her here, and most of it centers around comments regarding her appearance. Again, gay men do like to tear down women whom the cultural industry touts as glamorous but whom they do not find attractive at all.
Kristen Stewart: See SJP.
Jennifer Aniston: The dislike for her mostly has to do with the fact that it's been hard to stand in line at a supermarket for the last fifteen years and not have details of her personal life screaming at you. If her publicists (and the editors of Us and InTouch) would stop trying to market her as Everyomwan so loudly, people would not care much about her.
Kate Winslet: People responded badly to her aggressive campaign to win the Oscar the year she won it for "The Reader," but I think most people here actually respect her quite a bit because she's almost undeniably a fine actress.
Hilary Swank: People make fun of her large teeth, but again I think people here mostly respect her for her fine work, particularly in "Boys Don't Cry."
Julia Roberts: She is pretty much disliked here, I will grant you that. She does not come across well when she is interviewed or appears at awards ceremonies, which largely has to do with the fact she became so famous at an early age and has not handled it well.
Jessica Chastain and Keira Knightley and Natalie Portman and Jennifer Lawrence and Anna Paquin and Scarlett Johansson and Halle Berry and Amanda Seyfried and Sarah Michelle Gellar: I don't think there is abiding dislike here for most of these women. A few of them attract individual haters: that's it.