I thought I'd offer some thoughts on this. There seem to be 2 topics under discussion, free will and anarchism. I will address them separately.
Free will is a topic that is so crucial that I think we need to treat it cautiously. In fact, because of its religious overtones, I don't really like the term. I prefer volition or even better, "choices and avoidances"! Mathitis Kipouros, can you please clarify this sentence for me. I need some help to understand, "...we actually use our free will to try an approach/achieve whatever determinism we can get a hold of." I suspect it's something like the following, but please correct me if not.
Neuroscientists, physicists, etc. claim determinism to be the law of nature, and the evidence they recruit for this is powerful. In fact, I accept their evidence yet still have a problem with their conclusion. If I am a scientist wanting to validate or invalidate a hypothesis, I have to test it and assess the results of the experiment. If I have no free will, then whatever assessment I make is determined so I cannot actually know if it’s correct. Since I had no choice in my conclusion, how can I know that conclusion is right? I suppose one can say that logical deduction itself is what tells me something is correct or not, but how do I know logic is correct? I’m still faced with the same problem assessing logic. I know there are whole books out there that refute the notion of free will. But I still get stuck on this point. How can I know anything if I cannot make any choices about what is true or false?
As for anarchy, it is a word that means "no rulers". So I must disagree with your statement that "anarchism espouses the view that an authority figure is not bad in and of itself as long as its authority is justified by the benefits it provides to the ones it's leading." Anarchism is the rejection of rulers. I know of no political context in which a committed anarchist justifies being ruled. Yes, there are situations in which being ruled is tolerated, but the rulers have no standing in the mind of an anarchist.
"Transcending the self" is yet another important topic. But my old brain struggles to juggle multiple topics in a single thread.