Elephone wrote:...re-aligning the taped audio with the original digital audio is a real pain, as obviously the tape stretches after rewinding, etc.
I hope not! You've got some major transport tension problems if it does! What I suspect you probably mean is that the capstan speed drifts a bit between recording and replaying, resulting in a sync drift when you relay it into the DAW.
So, I want to add an extra tape head, temporarily at least, to bounce back to my DAW in real-time.
I very much doubt that's possible in that particular Philips machine. The heads mount onto a plate that also supports the pinch roller arm and various others bits and pieces, and there isn't provision -- or space -- to easily mount an extra head... let alone the additional electronics required. And it would seem a shame to mangle the machine if it's in good nick.
So I suppose I can simply extend the wires of the Sony to reach the Phillips and place the head against the tape in some makeshift but stable fashion...
Good luck with that! The head alignment is critical if you want reasonable performance and quality and there's nowhere to mount an extra head satisfactorily on that Philips machine and expect it to stay aligned... And while remoting the head from the Sony would be reasonably easy, you'll need specialist tools, test tapes, and test gear to get it reinstalled and aligned correctly again...
If I were you, I forget the notion of bodged DIY and look out for a semi-pro three-head machine on the second hand market. A Revox A77 / A700 or B77 / PR99 would be ideal, or one of the Tascams, perhaps... or one of the hi-fi machines like an Akai 4000 variant or Sony... there are plenty to choose from and they come up reasonably often...
Or maybe better still, borrow or hire one, just to see whether the whole palava is really worth it.

How close to the Phillips' head can I place the Sony head?
Far enough away that it isn't affected by the record head's magnetic field... probably at least as far away as the existing head is from the erase head. And the cabling back into the Sony's electronics will need to be shielded because the head will produce a very small signal from a fairly high impedance, so interference could easily be an issue.
But I really don't rate your chances of getting the head correctly aligned and stable enough to get anything like a decent replay. Tape head alignment is difficult and fiddly enough when you have the correct pivoted mounting points and all the right alignment tapes and test gear... doing it with a remote head on a wire wedged into a machine that wasn't designed to take a third head is likely to be farcical... and I doubt the fun will last long...
I expect Mr G will be alone shortly with a useful second opinion as he has far more experience of working on vintage domestic tape machines than I do.
H