If by "more harmful" you mean "more people have died from it", then tobacco is "more harmful", but overuse of both is linked to a large plethora of cancers and other undesirable conditions. Neither are particularly healthy.
And if you include deaths by drunken driving in the category of "deaths due to alcohol", it's a real contest as to which has killed more people.
Quite true and alcohol has destroyed more far families than cigarettes. Drunks beating up their wives and kids, and losing their jobs, are things that don't happen as a result of cigarettes.