The similarities between the UK voting for Brexit and Scotland (potentially) voting for independence are obvious. I don't see how Scotland can then get EU membership afterwards, as it will require Spain to approve their membership and Spain sees the benefits in Catalunia being part of Spain and not going for their own independence. However, like the UK leaving the EU, Scotland might feel independence from England/Wales/NIreland is now a better option - despite the financial risks it brings - even if they are not in the EU. What next? Irish union?
The Conservatives will probably see the loss of Scotland as no loss at all. Politically they are dead in Scotland. What better way could there be for resolving their political problem than by allowing Scotland to drift away? It may not be in the interests of the people of the UK, but it's certainly in the interests of the Conservatives increasing the proportion of seats they hold in a smaller Parliament.
It's still all about regime change for a single political party and not about acting in our best interests.