Speaking as a non-American, to the rest of the world those are indeed wacky right-wing laws. You have to have been brought up in a political monoculture not to see that.
No, Texas bans abortions from 6 weeks onwards (except when the mother's life is in danger). That's decidedly not more liberal than the majority of the world.
Then why do most European countries have more restrictions on late term abortion than the US?