Hillary would be stronger in OH than Obama ever was. Like in Appalachia, there's lots of middle/lower class whites there which was Obama's weakness (that's why she trounced him there in the 2008 primaries).
Florida would be in play simply because it's, well, the Clintons. They're just as connected there as Jeb Bush... Same with Arkansas (!)
The problem for republicans is that Hillary would win a greater share of the white vote, especially in places where Obama struggled or barely won (FL, NC, OH). Meanwhile, the republicans aren't peeling off Obama's strongest constituencies (nonwhites, white liberals)... Hillary is also more popular with latinos than Obama.
She'd basically improve on his weakness (whites, older voters), while largely keeping up his strengths (minorities, liberals).
This rehashing of political families is kinda disturbing though... Who's next? Chelsea, Malia, another Bush?