36 convertible two compasses

Are you sure that both are OEM, and the one between the tachs was not retrofitted afterwards?
Anyway, I'd get rid of both and fit a KVH Azimuth 1000 where the compass on the left is.
On top of higher accuracy and self-compensation, the KVH also allows an offset installation.
So, you could fit it rotated towards the helmsman for better reading.
Which BTW might be the reason why someone added the blue compass, aligned with the wheel.
Anyway, I don't think it's a good idea to use that spot for the A/P head.
If it's what look like an ST6001, just behind the wheel, I'd rather leave it there.
Not very elegant maybe, but easier to reach.

LOL, I posted my previous comment before reading yours, but it seems that we were thinking along the same lines.
To my knowledge, the KVH is the only compass that works equally well with such offset placement.

Judging only from the pic I thought the opposite, but if so, fair enough.

Just consider that the other non-aligned compass, even if accurate, is almost useless because of its placement.

I don't think that central compass can be interfaced with any A/P.
The ST6001 head is normally connected to its own Raymarine electronic compass, that should be placed as close as possible to the boat CoG - hence probably hidden under some floor hatch.

Ref. the other compass, my previous suggestion to replace it was referred to this specific KVH Azimuth 1000 model.
The existing Ritchie thing looks like a plain vanilla magnetic compass, strictly meant for a longitudinally aligned installation.

My bet is that it isn't connected to anything at all!

Would that port compass be in a good placement for the second person on the bridge? The co-pilot or Navigator?
In such a small dash, between the tachs, if your confidant you and your navigator can quickly reach it if needed, then that may be a good location and you could use the AP compass if needed.
I assume ahead of the helm is a seat back. Placing a gimbaled compass on top would be a head banger for somebody sitting forward?

Now, a big assed compass mounted way forward would be the trick. Like this one;
https://www.westmarine.com/buy/ritc...-and-built-in-clinometer--210146?recordNum=12
or bigger.

Mounted in an overhead box could be cool also.
The horizon and compass in the same line of sight.
I think the KVH display is flip-able for this.

O T O H
Does anybody really use their compass in precision any more?
On a boat your size; set & drift is near automatic in the back of your head, just lean that way a bit.
Your Navigator going to call out vectors or just turn on the AP?

You will also have HDG & CMG on the big plotter screen.
Your original little Richie is to help determine where land should be.
Relax
KISS

I never came across an installation of that thing upside down in an overhead box, but I can see why you think it could work.
So, out of curiosity, I just checked the owner's manual, and that possibility isn't mentioned anywhere. Only the offset installation is.

Anyway, I agree that we are now making a big deal of something which is practically irrelevant, in boats equipped with AP....

Good morning.
Nothing in the manual, uh?
So many slow brain cells have been sacrificed thru the years.
Maybe I'm remembering something wrong, possibly wrong mfg or model.
I'll have to do some digging.
BTW, It was not one of those mirror jobs I've seen also.

Quick Google shows a gazillion mag displays thingies for cars.
Just a few marine. I like the repeaters from marine-data.co.uk .
Raymarine and other common mfg's make a mag displays and repeaters that could be hung over head also.
Still can't find that one I have noted before. Just got to remember who's boat it was on.

Agreed