Not sure how it works in the country in which you reside, but homeopathy and ineffective alternative "medicines" are pretty much legal in the US. I would prefer not to go to some government agency to determine whether I can use a product unless it has grave dangers. I don't think antibacterial soap passes this bar. You could disagree

Anti-bacterial is marketed as "better", but is actually worse. If cocaine was legal, you still wouldn't be able to advertise its properties falsely.

Homeopathy stuff is actually clearly labeled not evaluated by fda etc. You could probably still sell anti-bacterial soap if it is clearly labeled "not recommended for daily use, may cause harm to consumer and environment", but what market are you going to sell it to, then? Consumers buy it because it advertises anti-bacterial prominently as though it was a plus, my wife buys it because of this (sometimes she doesn't believe me, arguing "hey all these companies sell it, it has to do something!", And she hates I'm usually right on this stuff, heh. )

Antibiotic resistance has the potential to throw society back to times where people died regularly from a variety of bacterial infections, I think it's one of the most important issues today.

Homeopathic "drugs" are sold in pharmacies in the us to an extent. It isn't a problems so long as they are clearly lableled and the contents actually reflect labeling (zicam got in trouble for containing active ingredients). Most times, they can't say they cure or help, and at most can say, "may help with X". Heck, these are even legal to sell in Norway, and we don't have a lot of the supplements available (melatonin is prescription).

The main thing with alternative medicine is that it is generally as harmless as water. Unless you are forcing it as the only treatment to your children or others, you aren't harming anyone else.

Antibacterial soap isn't in these categories. People truly think they are healthier for using the stuff - this is partially advertising and false claims. In addition, these things contribute to making the world unhealthier and a more unhealthy place by helping antibiotic resistance - general use does this. It is posing a grave general danger. This danger is the same reason antibiotics are prescription and we try not to prescribe them unnecessarily. It isn't that one will have immediate grave dangers themselves, but it is bad for humans in general.

"I prefer not to go to some government agency..." I think this is really key to your sentiment, and the solution to this isn't to eshew safety regulators, but work to make them more effective and honest and vote for folks (especially congress members) that share those sorts of interests. I don't think any of us have the time or energy to be able to parse out respectable information on each product to make sure it is safe, though we think we do. If you do, look around you. Do you think all of your neighbors do? All college students? I'm very doubtful on this - antibacterial soap is an example. We hear it causes grave dangers, but we buy it anyway. Advertising and culture at work, perhaps.