I would legit trust my life to that doctor, seems competent enough (plus is super cute).

Yeah, too many people use antibiotics not only irresponsibly, but uselessly. People are so impatient that instead of just waiting a few days for their body to kill the cold/flu on its own, their first reaction is to pump themselves full of medication. I don't mean to sound like one of those hippie types, but we don't need medicine for every little thing. It will be a scary day indeed when bacteria like Tuberculosis and Golden Staph become totally immune to all antibiotics. Hell, they are already well on their way, with multi-resistant strains popping up all over the world.

If I'm allowed to triage people based on whether they self medicate prior to granting them admission to my ER/hospital, then sure. Otherwise I'm not going to be held responsible for attempting to remedy large-scale government sanctioned self harm.

P.S. You think you have Strep, you don't know.

If you want to see what the idea your proposing looks like, look no further than the psychopharmaceutical industry where any half way competent person can get a prescription for a mood stabilizer, antidepressant, antipsychotic, and several other drugs with basically no effort. Shoot I know one guy who had a psychiatrist prescribe him a mood stabilizer just off hand after a passing mention that he had been anxious lately about his upcoming flight exam. What's the result? People popping psychotropic drugs like candy - drugs that can have lasting negative impact on your brain - who likely don't need any. And of course don't get me started on children with unthinking parents or worse orphans. In many foster homes psychotropic drugs are part and parcel. In these homes orphans can be on as many as 6 to 14 different psychotropic drugs at once. There are children leaving the foster system with permanent brain damage for goodness sake. That's what happens with minimal barrier to acquiring powerful drugs. And is why I disagree with both you and those insisting recreational drugs should be legal. People are stupid and irresponsible.

I know what strep looks like, I get it every year. I know what it looks like, feels like, and tastes like.

I also don't need to ask myself if I'm allergic to medications, or test my own blood pressure, or make sure I have had mono.

I did this with bupropion. I found out that it was often prescribed to smoking cessation programs. I had been thinking for a couple years about my own mood and problems within. I went on these and have seen a marked improvement. Havent had panic attacks since I started them.

Good for you.  The problem is - and this is the problem with the whole discussion surrounding doing away with prescriptions or legalizing recreational drugs - you aren't thinking beyond the scope of your own convenience.  Yay, you got hold of a psychotropic drug that helped.  Was that bit of convenience worth the crap storm I described?  is it worth the hundreds of thousands who die every year due to the effects of those drugs?  Many of whom didn't need any but were put on multiples by psychiatrists who are either misinformed, careless, or outright greedy pawns of the psycopharmaceuticals companies.  The lack of regulation and lack of the barrier provided by careful consideration before prescribing them has turned it into a monster of an industry.  And the icing on the cake?  99% (some would argue 100%) of these drugs don't cure a single dang thing.  They merely treat and long term use even leads to needing more drugs on top of the first one. 

tl;dr:  Making drugs in general highly accessible would hurt far more than it would help.  And it would be children and others who don't or can't make the majority of their own medical decisions that would suffer the most.  Have some patience.  Instant gratification for you is not worth the innumerable problems that your proposal would cause. 

You either want a authoritarian government that can dictate how and when you can purchase things that will only affect your health, or you believe in individual freedom.

No, absolutely not. People prescribing themselves ESPECIALLY Penicillin, and other anti-biotics is how we get resistant strains of illnesses.  Streamline the doctors visit process, sure.  But, self-prescribing things like anti-biotics and other medications, no.  Don't agree with that at all.

A lot of people would abuse it and try to make real drugs with them.

Dietary pills can be bought legally tough. Magnesium ussually heals everything for me.