The Constitution and Scotus work, but are not perfect. The vast majority of SCOTUS decisions are unanimous. Your concern for the politicization of the Court is a fair concern, but in most cases is greatly exaggerated by one side for fear mongering purposes. Remember how ACB was vilified by the left in her confirmation hearing because she was going to overturn Obamacare leaving people to die without healthcare? Well the that case has been ruled on and she voted in favor of the Obamacare issue.I get the point, however my point is that the "protection" offered by the constitution is paper thin (sic), as it is open to the interpretation of SCOTUS at a moment in time. It also takes time to get to that point, and restrictions can be in place while that goes ahead - the current TX case being a perfect example of where SCOTUS have allowed it to stay in place.
Some examples, the 1st amendment has exceptions, as decided by SCOTUS, they could be expanded by SCOTUS on a whim. The 2nd could be interpreted by SCOTUS to ensure you had to part of a militia to be in possession of a fire arm, with those regulated militias (& membership of) being approved by the "authorities". So SCOTUS could disarm the population and take away your right to say anything about it if aligned with a Presidency/Congress that was cool with that. That's how useful the constitution is.
Even though they didn't block the Texas abortion law (which may or may not be a State issue), SCOTUS ruled 8-1 to allow the lawsuits against the law to move forward.

Supreme Court defies critics with wave of unanimous decisions
The nine justices have charted a surprising course down the middle in 2021, handing down more unanimous opinions than any time in at least the last seven years.
An ABC News analysis found 67% of the court's opinions in cases argued during the term that ends this month have been unanimous or near-unanimous with just one justice dissenting.
That compares to just 46% of unanimous or near-unanimous decisions during the 2019 term and the 48% average unanimous decision rate of the past decade, according to SCOTUSblog.