They have a bunch of stuff about "promoting fertility", eg
the Czech Republic, Hungary, and Israel offer lessons. These countries have managed to increase fertility rates by introducing pro-natal policies — a combination of cash incentives, subsidised childcare, and housing assistance
which all sounds lovely and idyllic, but in reality the far-right government in Hungary has been throttling access to abortion with new legislation that is
an extension of the government’s anti-abortion policies, aimed at boosting the birthrate
meaning that
legal abortions [have] become increasingly difficult as the compulsory counselling sessions were becoming more aggressive and difficult to schedule
I can't definitely figure out the angle either. But they are a pro-fertility organisation praising a far-right regime that is implementing regressive "pro-life" policies at the expense of women's rights, and they are very careful not to highlight the true nature of these policies on their website.
They're also headquartered in Texas. So... draw your own conclusions.
The UK joining the Common Market was a Thatcher thing. Old school lefties opposed it at the time because it put limits on state aid, and weakened the positions of the unions.