Note that i'm writing this from the french cultural/political context, but i don't think this is true. Or at least it's not universal. Here even most of the far right would not dare question reproductive/abortion rights. Even Marine Le Pen has proposed to make abortion a constitutional right. The only question on the conservative right here (except for marginal catholic sects such as La Manif Pour Tous) is to oppose extending the incubation period during which abortion is legal.

In the United States the situation is different, mostly due to decades of political lobbying and public disinformation against abortion orchestrated by fascist billionaires associated with various christian churches. But still, i'm guessing some parts of the right wouldn't dare question abortion rights. Despite the democrats being from an outsider's perspective a right-wing party (capitalist and rather conservative), let's pretend for a second the republican party are the entirety of the right, it's still not clear that all democrats stand for abortion and all republicans against:

https://www.pewresearch.org/short-reads/2022/06/17/a-closer-...

Still, i think there is truth in what you say. As much as some issues such as gay/trans rights have advanced in the past decades, the political spectrum has shifted massively to the right in the Global North. Anti-immigration doctrines are far more common, and abolition of capitalism and wage slavery has almost become a taboo even on the so-called left. It's always both funny and sad to see people call Mélenchon or Sanders "far-left" when their social program is rather centrist and not more ambitious/communist than historically very right-wing programs (such as De Gaulle's after WWII).