The U.S. Supreme Court has vacated another stay of execution from Alabama, reminding the lower federal courts that "a significant possibility of success on the merits" is a requirement for a stay.  See prior post of October 4.  No, again, you can't use the All Writs Act to weasel out of that requirement.  Here is the order in Dunn, Commissioner v. McNabb, 17A440:

The application to vacate the injunction entered by the United States District Court for the Middle District of Alabama on October 16, 2017, presented to Justice Thomas and by him referred to the Court, is granted. "[I]nmates seeking time to challenge the manner in which the State plans to execute them must satisfy all of the requirements for a stay, including a showing of a significant possibility of success on the merits." Hill v. McDonough, 547 U. S. 573, 584 (2006). The All Writs Act does not excuse a court from making these findings. Because the District Court enjoined Respondent's execution without finding that he has a significant possibility of success on the merits, it abused its discretion. We accordingly vacate the injunction.

Justice Breyer and Justice Sotomayor would deny the application to vacate the injunction.