In the sense of "why shouldn't I take my toothache to the dentist"

If I replaced dentist with back pain and chiropractor, or any disease and homeopath, would that logic work? What about a problem with the state of your soul and a priest? Taking apparent subject matter experts as genuine experts as a default is fraught with peril. That's before we deal with how that's worse in disciplines which lack easy metrics that they are succeeding.

Yes. There's no indication in the laws of physics or of biology of anything that resembles a genuine choice. If you think otherwise, show it.

It is a fact that naturalistic libertarianism has been advanced Robert Kane , Tony Dore and others.

That doesn't respond substantially to the point other than to say "hey, someone disagrees with you". But let's look at Robert Kane's ideas briefly. I'm curious if you've read Dennett or Clarke's criticism of Kane. From my standpoint, Kane is an excellent example of how often philosophers fail to pay attention to modern science, such as psychology. In this case, Kane's ideas are a variant of the two stage model of free will, where one first generates possibilities and then selects among them. But we know this isn't how humans make decisions- in fact, part of the Sequences summarizes one of the major problems with that. But this isn't terribly interesting by itself- the mere presence of individuals who think that they have found a solution to something isn't a strong reason to think they have.

Why you think your own opinions are a bether approximation to facticity than a survey of expert opinion

I do not a priori think so- note that I'm the one who mentioned a survey of actual philosophers and how that showed that much of what LW thinks is in fact mainstream. About 70% of the philosophers surveyed are atheists, about 90% reject libertarian free will, and about three quarters are scientific realists. Heck, given how few accept any notion of libertarian free will, it might make more sense to ask the question to you. The questions where LW has developed opinions that are counter to common philosophical viewpoints are largely questions where there isn't any strong consensus- such as Newcomb's problem. However, if one looks at rather philosophers within their area of expertise things look different for some divisions- strikingly, the same survey shows that although most philosophers are atheists, 70% of philosophers of religion are theists! So any fully general argument for trusting experts needs to explain why one would be ok with trusting all philosophers as a group but only some of the subject matter experts.

What you mean by Genuine Choice.

And...whether you are looking for Genuine Choice only in fundamental laws, or allowing it to be a mechanism allowed by, but not necessitated, by fundamental laws.

I didn't capitalize that for a reason- it was a comment in the context of my earlier statement where I was talking about approximations of free will. As far as I can tell, most versions of it are either obviously false, or are intuitively appealing but logically incoherent.

Naturalistic libertarianism is a genuine case, because it is backed by some professional philosophers. That may not be good enou.gh for you , but it is good enough for Wikipedia.

I'm not sure what you mean by "good enough for Wikipedia"- but I think you may want to look at the project's criteria for inclusion- correctness is not what matters- Verifiability is what matters. Theism is also backed by some professional philosophers, and that includes a majority of phil religion people. Should I pay attention to theism?

You are arguing as though scientists are the only relevant authorities, and as though thethe vast majority of them agree with you...as though you are on the evolution side of an evolution vs creation debate.

On the contrary, philosophers are highly relevant. I've already mentioned Putnam and Quine. The best philosophy is done not by scientists, but by philosophers who pay attention to science. One doesn't need to be a neurologist to know that classical libertarianism fails for example, and one doesn't need to be a GR subject matter expert to know that it raises serious issues for many versions of A-time. This shouldn't be surprising- the best work in almost any field is informed by work in other fields. Philosophy is not an exception.

But it is worth noting that regarding your other claim- I don't need a consensus of physicists to make an argument about what physics implies in another field, and I especially don't need it when the central problem is that many in the other field are simply ignoring physics wholesale when discussing these issues. It isn't the job of physicists to think about free will. It is the job of philosophers to think about it, and part of that job is to actually pay attention to what implications physics has for free will.

simply repeatedly asserting that professional philosophy is somehow in good shape

That's the default hypothesis. The burden is in you.

You've been around LW long enough that I suspect you are familiar with a lot of the prior discussion here, such as this. I'd also point to Peter Unger's recent book. But I think the earlier cited 70% figure for theism should be sufficient. That 70% of a major discipline consistently get such a basic question wrong and the rest of the philosophers are taking them even remotely seriously as a discipline shows a major part of the problem.

But that doesn't change that philosophy as practiced today has deep-seated problems.

Unsupported opinion. Provide evidence that someone else can do better.

I already commented that "someone can do better than X" and "X is doing badly" are not the same thing, and you apparently ignored it. If you don't get that imagine someone saying "People working on cold fusion are doing a terrible job getting cold fusion to work" and someone relies saying "Yeah but show me someone who is doing better!" And again, there are professional philosophers doing good work, the trouble is that so many are doing bad work and are focusing on things which we know are just wrong. But if you want an example of good philosophy that's being done outside professional, academic philosophy, I'd be happy to point to the recent paper by Eliezer et. al. on modal agents and the prisoner's dilemma. See here. That paper, a careful mix of philosophy, decision theory, game theory and proof theory is what good philosophy looks like. It is the sort of thing one expects from people like Kripke, Quine and Lakatos, all of whom were mainstream philosophers.

I asserted that I can see a way in which it could work that is compatible with physics. It is an empirically confirmable ,model, and I would only be glad if someone with access to a laboratory were to confirm or falsify it.

I'm curious what your model is and how you intend to test it given the resources.