My father too has a PhD and dresses like mantracker. Blending in is a societal concern we can address once we settle the personal ones. I'll share one reason I wear a tie, it helps with my hypertension from stress and helps me contain my anger at technical debt and things of that nature. I wear a jacket for all the pockets. It's like cargo pants but with a different cultural perception. We're after personal choices here.
Edit: my pockets have sub pockets into which I put desk keys and the like.
It's like a G suit allowing me to work in higher atmospheric pressure and stress without damaging my soft internal organs.
The necktie prevents any pressure from building up there and subtly changes the way one swallows to support the adam's apple. It's very comforting once you get the hang of it but I can understand why people find it uncomfortable, especially if the fit isn't right.
Essentially the tightness afforded by the tie alerts one to the pressure buildup earlier than more 'comfortable' collars which provide less support, thereby allowing one to take a rest or breathe and allow the pressure to dissipate.
I married the daughter of a manager, who in fact started giving input on my wardrobe before we were married--I think before we were particularly serious. Since we married, she has generally set out my work clothes. Monday through Thursday, this includes a tie. September through May, it includes a jacket. On an irregular basis it will be a suit.
At the job where we met, I was expected to wear jacket and tie to customer sites. At the next--a government contractor--I was expected to wear a tie. At this one, nobody cares. I have been here long enough that people would certainly notice if I started to show up in tee shirt and jeans, or even omitted the tie, but I don't think anybody cares one way or another. Most employees here wear what I'd call business casual. In a building with about 250 persons, there might be five other men who wear ties, and a few more women who wear something comparably dressy.
My advice: blend in. Don't give people an excuse to reject you.