Nicola Sturgeon is all for taking an 'independent Scotland' into the EU. Am I missing something but the majority vote from the UNITED?

KINGDOM was in huge part because the public is sick of inteference into the internal affairs of the UK, by Brussels. Has Sturgeon conveniently overlooked this fact in her unwavering agenda to get Scotland out of the UK. Is she willing to be ruled from Brussels?
In #Scotland this is how we roll...Ooh Nicola Sturgeon ooh Nicola Sturgeon ooh Nicola Sturgeon ooh Nicola Sturgeon.
Nicola Sturgeon Avoids Talk of New #Scottish Independence Vote #UK #Scotland
Well said Nicola Sturgeon. Scotland shouldn't be dragged off the cliff for something we didn't vote for #Brexit #SNPConfe 2046541 - 94.468085106383
Nicola Sturgeon tells Glasgow Pride 'we still have work to do' - The Independent

All voting is a sort of gaming, like checkers or backgammon, with a slight moral tinge to it, a playing with right and wrong, with moral questions; and betting naturally accompanies it. The character of the voters is not staked. I cast my vote, perchance, as I think right; but I am not vitally concerned that that right should prevail. I am willing to leave it to the majority. Its obligation, therefore, never exceeds that of expediency. Even _voting for the right_ is _doing_ nothing for it. It is only expressing to men feebly your desire that it should prevail. A wise man will not leave the right to the mercy of chance, nor wish it to prevail through the power of the majority. There is but little virtue in the action of masses of men. When the majority shall at length vote for the abolition of slavery, it will be because they are indifferent to slavery, or because there is but little slavery left to be abolished by their vote. _They_ will then be the only slaves. Only _his_ vote can hasten the abolition of slavery who asserts his own freedom by his vote.
XIII. A third difficulty with regard to International Legislation is of quite a particular kind. It arises from the fact that International Statutes cannot be created by a vote of the majority of States, but only by a unanimous vote of all the members of the Community of civilised States.
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