As a practicing attorney, I can assure you that the Constitution is for all practical purposes ignored by the courts insofar as it would constrain governmental power, unless a Leftist issue is involved.
Yes, while not an attorney, I have been a political activist and witnessed such "ignored" throughout my political life. However, if an entity were to exist that has the resources to take issues to the USSC, it's worth a try.
Point is, those who have standing against specific legislation that is contrary to Constitutional principles should file suit. Do you not agree?
How difficult would it be to find conservative attorneys to involve in such a movement? Dare I ask if there is any sort of conservative advocacy group for lawyers... or anything remotely along those lines?