Do you think that an average person will have access to quantum computer? They'll have access to it when everything will be quantum resistant. Good luck building a quantum computer yourself and good luck stealing or selling US, Russia and Chinese intel.
I believe we are on the same set of mind. If the internet will be ready by the time quantum computing reaches hands of average people then I highly, HIGHLY doubt Bitcoin will not be secured against it. If it is not secured within the right time, clearly Bitcoin will either die or at least a ton of us will lose faith and get out.
Considering it is being worked on however, I do not see why it should be a scare. If quantum computing will be announced to be ready for consumer end in less than 6 months, I also highly doubt there will be no group of people who will work hard on making Bitcoin secure against it in two to three months, way before any thing bad can happen to it.