Global yearly deaths by smoking: 7.1 million
Global yearly deaths by alcohol usage: 2.84 million
Regarding injuries: Sure, but the statistics in general doesn't include stuff that doesn't kill you but still is bad, like non-lethal lung problems from smoking.
Regardless, if we accept the argument that people need to be coerced for their own good into avoiding harmful behaviors, the data linked seems to argue that we should be restricting access to sugar and high glycemic index foods (flour) much more than alcohol since "High blood sugar" at 6.5MM and "Obesity" at 4.7MM both beat alcohol by a large margin.
"This study found an average of 93,296 alcohol-attributable deaths (255 deaths per day) and 2.7 million YPLL (29 years of life lost per death, on average) in the United States each year."
https://www.cdc.gov/mmwr/volumes/69/wr/mm6930a1.htm
Whereas smoking reduces life expectancy by "only" ~12 years.
Extrapolated out over time, I would guess that alcoholism is a cofactor in more deaths annually than cigarettes (edit: that is to say, deaths not caused directly by drinking, including drink driving, but conditions such as diabetes and heart disease which are greatly exacerbated by drinking for example... I wonder if someone who dies of cirrhosis gets chalked up as a death by alcohol?)
https://web.archive.org/web/20201112012236/http://dobrochan....
I wouldn't be surprised. There are studies that are beginning to link liver health to neurodegeneration, and that's just one set of potential disease states.
https://www.sciencedaily.com/releases/2021/09/210914152531.h...
also, at least for now, cigarettes are legal, which just bolsters the point above.