I think having a Constitutional Court that verifies every single bill that passes through Congress and administration, and has final say on whether a bill is going to become law or not, would be a decent solution for an out of control Congress and administration that don't even care if their laws are Constitutional or not anymore.
This is not to "replace" the Supreme Court, or any other Court. this is in addition to them. A Constitutional Court could filter out a lot of the bad bills, before they ever had to reach the Supreme Court for their unconstitutionality. With a Constitutional Court something like the Patriot Act or FAA might've never passed, and we wouldn't have to endure it for 20 years before it even reaches the Supreme Court, to decide its constitutionality.
But what happens if a Constitutional Court allows a "bad bill" to pass anyway, you ask? Well, nothing different than right now. It goes out there, and eventually someone sues over it, and it goes through the same process up to the Supreme Court, if it's that bad. The point of the Constitutional Court wouldn't be to "set a precedent" but to filter out at least 90 percent of bad/unconstitutional bills coming out from Congress. Other than that, everything else will work as normal.
The system is already used in many European countries, and I think it would work well for US, too. Without it a lot of EU countries would probably have a lot worse justice system, since they don't even have the precedent thing, which means that if a lot more bad bills were allowed to go through, they would have a lot more judges split on the decisions, and more unconstitutional laws would be allowed to continue for more years. But the Constitutional Court filters out most of those, so the judges can only be split on a few of the bad ones.