A good number of British Jews are. I know many personally who’ve come to the U.S. And a couple of years ago, I met a gay British Jew in an internet cafe in Tel Aviv. He had recently made aliyah. He said he felt 10x safer as a gay, secular Jew in Tel Aviv than he did in Londonstan.
I don’t know what the statistics are, but I haven’t heard of any large increases in British Jewish immigration to either the US or Israel. If you have any numbers, please post.