Hi
I fully agree with getting rid of it – we bought a house where it had been left unchecked and it has gotten under soffits, gutters, into window mechanisms, lifted roof tiles etc. The mortar is not damaged though – maybe we were lucky with the species – but I have read it doesn’t really attack mortar?
Anyway, where I would disagree with the above is that I would rip it down while it’s still alive. Reason for this is that the roots are far more supple and come away quite easily. If you leave it to die – it sets like concrete and leaves far more of a mess on the brickwork, takes more effort to remove – and the toxic dust is far worse, (wear safety glasses – it’s horrible if you get it in an eye).
I did one half of the house dead and one half alive – the live stuff was much easier to remove and then you can chop it up and worry about killing the stump, (it is heavier alive though).
Anyway, good luck – definitely worth getting rid of however you go about it!