I don't feel like strong women characters are unlikeable, I don't know all the ones you cited but the only I don't really like is Daenerys because she tends to act quite childishly when her counselors are not here to advise her.Sorry haven't read the whole thread so I'm just going to post about who I think are strong / independent female characters.
Michonne from the walking dead.
Donna from suits is amazing. There's a few independent, ball breaker women in that show.
Daenerys Stromborn from GOT (my fave character) and Arya Stark.
Hannah and Jessa from girls... though I don't think they are particularly good role model.
Deb from dexter. Can't stand her though.
Norma Bates from Bates Motel. She's also a nut job.
I guess I'm realising that a lot of strong female characters in modern tv shows are also unlikeable... whereas the strong men characters are generally developed to be liked. Imo. Women are often portrayed as unstable / emotionally unstable (aside from my first few examples).
Most just have a great personality and their very own sense of humor that make them unique and give them an important part in their respective shows.
I'd also like to mention Malory Archer from Archer, played by Jessica Walter also present in Arrested Development as Lucille Bluth!