You seem misinformed regarding Christians and reproductive rights. Which makes me question other parts of your narrative.
Unless you define extremists as roughly 72% of Americans and 75% of American women, who in the Harvard Harris poll said they favored limiting elective abortions to 15 weeks or less. Or perhaps you want to extend the label "extremist" to the 80+% of Americans, who want to outlaw abortions once the baby is viable.
In other words, either over 80% of Americans are "extremists" or perhaps those women who believe in an unlimited right of a woman to have an abortion are the extremists. If we use the proper use of the word "extremists"... then polls suggest that people who want to deny abortions under any circumstances or allow them under any circumstances are the "extremists". So, let's refer to those two groups as the extremists... and not the mislabel Christians as extremists when most Christians support abortions in various situations.
prepared to put limits on reproductive rights of women, not because all these people including 80% of women don't want other women to have reproductive rights, but rather they hold the more sane and rational position, that both the unborn baby and the woman have rights and when a woman has an abortion she violates the right to life of the baby and when the woman is denied an abortion her right to pursue happiness is violated.
Interestingly, the 'mainstream" Americans including more women than men, support a range of reasons for abortions and limiting elective abortions to the somewhere between the first 10 to 15 weeks.
Europe, usually not considered far right politically, limits elective abortions in most countries to somewhere between the first 10-15 weeks. Do not be guilty like so many people of labeling groups with "beliefs" that they don't hold.
Most Christians I know believe you and others have the right to sin. It is not their job to judge you. But your right to sin to does not extend to your right to impose your beliefs on their children.
Which is why so many Christians draw the line at what is taught in taxpayer funded schools that their children attend. They don't force your children to listen to their beliefs in schools and expect the same will be true of your beliefs.
You may not agree with someone regarding what is a sin, and you don't have to. Sinning as mentioned is not illegal. As for who is happier, Pew Research has found that actively religious people are happier than less religious people.
The beliefs of many Christians regarding the family, is that the man is the "head of the family". This sounds like a great deal for men... but in real life it sucks.
Since the Bible also demands that husbands exercise their responsibility by caring for their wives and children more than they care for themselves. Imagine a husband that rather than argue with you regarding what should be done, considers your needs above his own and acts accordingly.
What greater love can a man have than to put the needs of his wife above his own. Non-Christian households seem to struggle with conflict resolution. Many couples struggle with always putting their selfish interests ahead of their partner's.
In our 36 years together, my wife loves that we do it her way 90% of the time and my way 10% of the time, because I only do it "my way" when I am convinced it is best for the family. And that 10% of the time, my wife accepts it without complaint, because she knows I am doing it because I love her, and our children and I think it is important enough that I cannot let her make the decision.
No one is perfect... which is perhaps why couples need a way to resolve conflict or end up divorced. Now if a woman marries a selfish man, then Christian or not, he will be a jerk... but don't blame that on religion.