Sounds like the doc has you covered on the acetone.
A couple of other tips. Speed is important when laminating but there isn'a need to rush when laminating short sections. You have several seconds after you apply the acetone to then pull the binding through. That gives you time to ensure you are keeping the binding pieces aligned well which minimizes later scraping. Also, I lightly scrape the face of the binding to be laminated to take some of the sheen off. It helps adherance.
I don't know if this will work or not, but if I couldn't find any acetone, I would try using some of the binding cement that Stewmac sells. It is intended to adhere the binding to the guitar but may be worth a try if you are desperate. If it doesn't work, you are no worse off. It will be messy so I'd suggest using a small amount and spread it thinly with a brush. It takes longer to dry so you may have to work the binding differently, that is, do a short section at a time and let it dry completely before proceeding.
Good luck.