• The Supreme Court's conservative majority on Wednesday appeared poised to side with Mississippi in its bid to uphold a 15-week abortion ban.
• If so, that ruling that would erode decades-old precedent protecting the right to an abortion before viability established by Roe v. Wade and Planned Parenthood v. Casey.
• Liberal Justice Sonia Sotomayor expressed fear that the court as an institution would not "survive the stench that this creates in the public perception" if Roe and Casey are reversed.

The Supreme Court's conservative majority on Wednesday appeared poised to side with Mississippi in its bid to uphold a 15-week abortion ban, a ruling that would erode decades-old precedent protecting the right to an abortion before viability.

The justices heard oral arguments in the case, Dobbs v. Jackson Women's Health Organization, that directly challenged the abortion rights precedent established by the 1973 Supreme Court ruling Roe v. Wade and reaffirmed by the Planned Parenthood v. Casey decision in 1992.

The case centers on a Mississippi law that would ban almost all abortions after 15 weeks of pregnancy. Lower courts blocked the law, ruling that it violates Roe and Casey, which protect abortion before the point of fetal viability — around 24 weeks of gestation — and require that laws regulating abortion not pose an "undue burden."

The Mississippi case marks the most significant challenge to abortion rights in decades.

The 6-3 conservative majority questioned Julie Rikelman, an attorney with the Center for Reproductive Rights arguing in favor of Roe and Casey, about the viability threshold.

"Viability, it seems to me, doesn't have anything to do with choice," Chief Justice John Roberts said. "If it really is an issue about choice, why is 15 weeks not enough time?"

Justice Brett Kavanaugh, one of former President Donald Trump's three appointees to the court, expressed skepticism that the interests of pregnant women and fetuses can both be accommodated.

"The problem, I think the other side would say, and the reason this issue is hard, is that you can't accommodate both interests. You have to pick. That's the fundamental problem," Kavanaugh told U.S. Solicitor General Elizabeth Prelogar, who also argued against Mississippi.

"And one interest has to prevail over the other at any given point in time, and that's why this is so challenging, I think. And the question then becomes, what does the Constitution say about that?" Kavanaugh said.

The three liberal justices on the nine-member bench, meanwhile, sounded alarms that reversing Roe and Casey would destroy the public perception of the high court, and thus the institution itself.

"Will this institution survive the stench that this creates in the public perception that the Constitution and its reading are just political acts?" asked Sonia Sotomayor, one of the three liberal justices, at the start of oral arguments in a case challenging Roe v. Wade and Planned Parenthood v. Casey.

"I don't see how it is possible," Sotomayor said.

Roe, Casey and other "watershed decisions" — such as Brown v. Board of Education, which ruled segregation unconstitutional — have created an "entrenched set of expectations in our society," Sotomayor said.

"If people actually believe it's all political, how will we survive? How will the court survive?" she asked.

Mississippi Solicitor General Scott Stewart responded that to avoid the appearance of a politicized court, the justices should reach a decision squarely grounded in the text of the Constitution.

Stewart argued Roe and Casey "haunt our country," and that the right to an abortion is not supported in the Constitution but in "abstract concepts" that the high court "has rejected in other contexts."

The liberal justices Sotomayor, Elena Kagan and Stephen Breyer grilled Stewart about the justification for reversing or undermining precedent that the court has followed for three decades.

To overturn a long-standing precedent, "usually there has to be a justification, a strong justification," Kagan said, adding that views on the Roe and Casey decisions have not significantly changed since they were made.

Breyer said the issue in a "super case" like this is that the American people will come to consider justices as "just politicians."

"That's what kills us," Breyer said.

The fight over abortion rights, a perennially controversial and politically polarizing topic, drew an immense crowd protesting both sides of the case outside the Supreme Court building Wednesday morning.

The U.S. Capitol Police said they arrested nearly three dozen people who were blocking street traffic in the area, separate from the lawful demonstrators in front of the building on Capitol Hill.