All sourced from the book Supreme Conflict by Jan Crawford.
Though we've talked about how HW ultimately was deciding between Edith Jones and David Souter for the spot of Supreme Court, early on there was actually a far more likely candidate. It was former DC Circuit Judge and then member of Bush's Counsel Kenneth Starr (who would later become famous as the independent counsel that tormented Clinton over Whitewater and then Lewinski so much that Democrats, happy to keep the Independent Counsel Act alive when it was torturing Reagan over Iran-Contra, agreed to let it expire). However, Starr was seen by some as having a few opinions that made him seem "soft." Luttig, at the Office of Legal Counsel, was heavily against him. Similarly, Attorney General Dick Thornburgh literally threatened to resign if Starr was appointed. Otherwise we probably get Justice Starr.
In 2004, Sandra Day O'Connor had worked out a plan that Rehnquist, suffering from illness and barely able to talk, would retire and then a year later O'Connor would retire. If this original arrangement held on and Rehnquist retired in 2005, it's very unlikely that Roberts would be Chief Justice. Roberts, though impressive, was not what officials thought of when thinking the spot. Instead, it was going to be either the heavily connected but combative Michael Luttig (unlikely as Bush felt he had pissed too many people off) and Harvie Wilkinson, respected and acclaimed within conservative circles. We would likely have the Wilkinson Court according to Crawford.
However, Rehnquist refused to retire and O'Connor, not wanting to leave the court with two vacancies, decided to leave first despite having already hired her clerks. The White House, not finding a suitable female candidate, went with the more confirmable John Roberts. Roberts ended up performing so well in his confirmation hearing however that when Rehnquist died, it just made a lot of sense to push Roberts up and just make him Chief Justice.
Then Bush's desire to have someone take the O'Connor seat with a woman was on his mind. But all the women that would have been popular with conservatives were basically told to him by Chuck Schumer that they were going to filibuster (Priscilla Owen, Janice Rogers Brown). Other female judges had some ethical issues that weren't too serious but just not worth the headache (Karen Williams). Others ended up being rather unimpressive in their decisions and a sense they would be insufficiently conservative or just not at the level to survive a hearing (Edith Brown Clement). So the choice to pick Harriet Miers was because she was a woman, she was someone close to the administration so unlikely to pull a "Souter", and with small enough of a paper trail to be confirmable. It would end up being a disaster and Miers herself ended up suggesting Alito, who had very little paper trail and was good enough at the hearings that there wasn't much energy to oppose him.
So here's an alternative court (assuming presidential elections don't really change)
The Wilkinson Court (as of 2012)
Chief Justice Harvie Wilkinson (appointed by W. Bush in 2004)
Justice Robert Bork (appointed by Reagan in 1985)
Justice Antonin Scalia (appointed by Reagan in 1987)
Justice Kenneth Starr (appointed by H.W. Bush in 1990)
Justice Clarence Thomas (appointed by H.W. Bush in 1991)
Justice Ruth Bader Ginsburg (appointed by Clinton in 1993)
Justice Stephen Breyer (appointed by Clinton in 1994)
Justice John Roberts (appointed by W. Bush in 2005)
Justice Sonia Sotomayor (appointed by Obama in 2010)
Bork would die in 2012 assuming he doesn't retire under Bush (though he probably would have retired under Bush). Also, Roe is probably overturned in Casey ITTL. Could have an interesting TL if Bork dies right after Obama wins reelection but also with the Supreme Court striking down Obamacare in the Sebellius case.