We don't want nukes. We don't need them any more than any other "small" country does. What the UK wants to do with their nukes is their own damn problem :laugh:
As for the "ideals", that's Westminster spin. we are (and this is the vital word here) ENTITLED to keep whatever we currently fund on our land, Hospitals, lifeline services, defence hardware (technically, if we wanted to be really difficult that also includes a percentage of current nukes as it is UK funded and Scotland, currently as part of the UK pays towards it...and it is on "our" land so.....

)
All services (and that includes Pound Sterling) are just as much ours as England's at present. Army, Police, NHS etc, We aren't "using it from the British government", it's our currency and services too!, the only debate on that is whether post independence we continue with a currency union (which btw benefits the rest of the UK too, as well as Scotland), or whether (Westminster cuts it's nose off to spite it's face, not that there should be any doubt as we "own" part of the currency!) we self govern from Bank of Scotland. There may be complications in that but also perhaps longer term benefits. Neither situation is a disaster by any means.
Hell, if you want to be picky and claim we only "use" British services from the British government at present, And that we have no rights to things because of that and no right to use our own currency, then in that case we've also no reason to take on or pay part of the national debt... after all, the British government ran that up, not us...we just use their services as tenants
As for the EU membership, i agree that is potentially more sticky. As mentioned Spain in particular has a reason to veto any application, however there have already been rough precedents set abroad for new members, but yes, it's by no means set in stone either way.