Its really impossible to know what exactly would have happened given the numerous possibilities, but for sure the resistance to the Nazis was not genocidal, as the Nazis were, but the July 20th plotters were not egalitarians in any way. Both the Army Resistance (responsible for the July 20th bomb plot) and the White Rose resistance took dim views of the holocaust and mass slaughter of the Jews and non-Aryans. The White Rose went as far as helping Jews escape Germany.

The July 20th plotters, being that they were from the very christian, conservative army, was less sympathetic to the Jews and thought of them as lesser people. But they still were opposed to the mass slaughter going on( some of them supported the Nuremberg laws though). For example Ulrich Von Hassell, one of the most ardent anti-Nazis and a member of the bomb plot wrote in his diary:

The Jews are being systematically exterminated, and a devilish campaign is being launched against the Polish intelligentsia with the express purpose of annihilating it.

One of the leading resistance members, and the planned Chancellor of Germany (had the assassination worked) was Carl Friedrich Goerdeler. He wrote:

The Jewish persecution...has taken the most inhuman, merciless, and deeply shaming forms, for which no recompense can be adequate."

He also published a memorandum in which he argued against the Nuremberg laws and all laws affecting Jews would be abolished. Now this wasn't out of sympathy but because they would be unnecessary given the small amount of Jews left. So, assuming the plot succeeds, the holocaust would have been most likely ended and covered up. The new non- Nazi government would have stopped the wholesale slaughter of the Jews but they would still be far from equal in the new Germany.

Source:

Third Reich at War Richard Evans Third Reich in Power Richard Evans