The Bush administration would be pretty much the same as Reagan's IOTL, certainly for his first term. One thing I can think of is that TEFRA wouldn't happen- the Reaganites would lose their minds, and Reagan acquiescing to it IOTL was a case of "only Nixon can go to China". The Volcker shock happens, the economy bounces back for everyone but the agricultural and industrial workers by 1984, and Bush runs on some variation of Morning in America where he can say he led the country through political, economic, and moral crisis. He's also sure to keep the party united by picking a more conservative running mate, which I think would be Reagan's "First Friend".
Hart's forward-thinking, business-focused Atari Democrat campaign would be hated by labor, nor could he swing the suburbs like future neoliberals after Reagan's martyrdom. He may be palatable to liberal social movements, but it wouldn't be enough, and we'd probably be in a Third Red Scare if Hinkley was successful (fears of "moral decline" would erroneously merge with fears of left-wing terrorism here as Americans looked for someone to blame). Busing denies him Massachusetts just like Mondale.
President George Bush (R-TX) / Senator Paul Laxalt (R-NV) ✓
Senator Gary Hart (D-CO) / Congresswoman Geraldine Ferraro (D-NY)