Typically conservatives have been fighting to restore/maintain existing rights, while progressives have been trying to create new ones out of thin air.
That really is not the case.
Care to expand on that?
Most of the cases from conservatives are about 1st amendment and 2nd amendment rights, ones that are already established, explicit in the constitution, and under attack by progressives.
With the exception of the death penalty, all cases before SCOTUS relate to some portion of the Constitution. Saying it relates to this amendment or that section rather than that amendment or this section is pointless. All you are really saying is that it is ok when you agree with the claim but not ok when you don't. It is the nature of cases that there are always two sides.
So it is on you to back up your claim with actual facts, rather than subjective opinion. Break down all of the SCOTUS cases in the last few years by whether they were presented by conservatives or progressives and showing whether it was to maintain existing rights rather than create new ones. You will also have to establish objective criteria to support your definitions of "maintain" and "create". We will also need objective criteria on what constitutes "conservative" and "progressive".