In my experience this is sort of a good news/bad news situation.
The good news is that feeling as you do, it often means you are self aware enough to have reached the point where you see life is just a journey, there is no end point other than death, and the meaning of life is what you put into the journey.
The bad news is that it reads like you are feeling that, so far, you've not used the time on your journey well.
That can be dangerous, as it can lead to depression, jealousy, and a whole host of emotional roller coasters before you get to the point that you realize you're actually in control of your journey[1].
You wrote "Everyone around me from management to the HR apparatus and even my peers seem geared towards me remaining a non-client facing worker bot."
Step one is to recognize your own agency in your journey.
You could resign your job tomorrow, just walk in and say "Oh hey, my last day will be Friday, could you let HR know so they can have my final paycheck ready?" That is using your agency to change the circumstances of your life. That said, I don't recommend it, since that would be jumping in without a plan and that leads to a bumpy journey with a lot of risk.
You've got the start of a plan going in this question, you write "How can I ... become the consummate professional I've always wanted to be?" (some editing there to pull out the goal statement). Spend a couple of hours with a notebook (or an open editing window) and let your thoughts flow on what would be true, how your life would look, what your job would look like, what your resume would look like, when you were this 'consummate professional.'
You might write "I would be the chief/lead engineer on the development of new products for my company." or "I would be leading a team of <n> engineers who were working to build the next <y>." Etc. Remove the shackles from your brain and reality and write down anything you want, even silly things like "Elon Musk would report to me." (that being way outside the 'box' and highly unlikely but speaks to part of your life satisfaction being derived from having managerial authority over 'celebrities' as an example).
The goal of the exercise is to convert a feeling of 'want' into concrete expressible and measurable things that would address that ambition.
Once you have a list, rank them from 'things I could do in my current position' to 'things I could only do if I was a superhero.'
Start with the head of the list and work your way through it. You will want to check in with your feelings to verify it is still what you want. As with most things, you might find that you think you want something, only to find as you get closer you want something else.
At the start of every month write a note on your calendar or your refrigerator that says what you are working on this month. At the end of the month do a retro on how well you did and what you learned about what you want, how you got it (or didn't get it), and how it changed your outlook on the next step.
Since all consummate professionals have discipline, this activity will exercise those skills you need. Good luck, and remember, you get out of life what you put in.
[1] Well at least it did in me.