It would be quite strictly controlled by governments
This is something that would make maintaining law and order much more difficult. It's much easier to break into secure buildings (you just rip open iron doors, etc.) It's much easier to injure or kill people. (Even by accident, remember how many people Obelix has taken out due to his clumsiness.) You can steal a car by lifting it up and carrying it away. It would be technically possible to get on a flight and kill everybody (including yourself) by punching holes through the windows/fuselage. Those are just a few of countless examples.
Governments would argue that this potion is too dangerous in the hands of criminals and terrorists, so they would therefore want to strictly control it. Legions of dogs would be trained to sniff for it, and anyone found to be in illegal possession of it would be shot with tranquilizer darts (or something like that) and punished very severely.
Most governments would make this a banned or illegal substance. It would be given a similar treatment to that of heroin, only much more severe.
Of course, the governments themselves would use it for their armed forces, some police etc.
There may be some exceptions where civilians would be able to use it, but it would be rare and it would be strictly controlled. You'd need a license, and you'd only be able to get that if there was a very good reason, like some task you needed to perform. Abusing the license would be punished very severely.
Of course, some outlaws, etc. would still manufacture, use and distribute it, but it would be similarly difficult and risky to do as other criminal activities are today (smuggling of drugs/weapons, human trafficking, etc.)
Or actually, perhaps it would be much more difficult, as this potion would be a worse direct threat to governments than those other things are. Thus, they may put more severe efforts into controlling it.
We know some of the ingredients of the potion. The main difficulty with controlling the potion is that people can cook it at home from readily available ingredients. (This is similar to crystal meth.) However, it's extremely important for governments to control the potion. So, they may consider banning one or more of the ingredients.