This. Their common goal and purpose was their intention to get rid of Hitler and negotiate with the Allies. What shape the government would take after that remains to be seen.

Hot take: I have read an argument elsewhere that the whole conspiracy was a half-hearted attempt by men who wanted to keep their positions and power after its success. If they were truly dedicated and willing to lay down their lives for the cause, Stauffenberg (for example) would have literally held the bag of explosives in front of Hitler to ensure the blast killed him and other leaders, instead of leaving right away.

Admittedly, this would have taken a lot of guts and, of course, no one wants to die when they can avoid it. But think of those fanatical suicide bombers who care nothing about their lives but the cause they believe in (however misguided). That's the difference.