Hey look something that really isn't happening at all and is just a fringe group calling for this.
https://www.change.org/p/hrc-glaad-nclr-lambda-legal-the-advocate-huffpo-gay-voices-we-are-getting-the-l-out-of-the-lgbt
They have just 290 signatures in 7 months. That isn't exactly a large movement. There are millions of lesbians just in the US. It doesn't surprise anyone that some don't like transgender people. It is interesting though that those who generally don't care for one or either group would think this is some actual sign of some sort of division.
When I was aboard the ship was when my sister "came out" to us, her family. She sent us all an email. I was actually a little confused at the time being my naive self then, thinking that those who felt like they were trapped in the wrong body were also at least mostly also attracted to someone of the opposite sex as they identified. One of the girls I considered a friend (I didn't feel that way about all of the girls I worked with), was a lesbian who showed me a movie "Better Than Chocolate" (1999) when I talked to her about my sister coming out. It is a Canadian drama about lesbians, censorship and even a transgender woman who basically has a side story of her own in the movie. I now own this movie myself because it made me a little less naive about what some transgenders face (even if part of the plot line of a movie). Some of the lesbians in that movie called the transgender lesbian a "freak" and that she didn't belong in their restroom. It isn't something new, but it also isn't a sentiment held by a majority of lesbians either. In fact, I'm willing to bet there are gay men who will not date a transgender man and likely some who are also not accepting of transgender women. This isn't some universal "all in" thing. People are all different.