Here's a question to consider.
If we swapped the entire population of Scotland with that of Norway - so they live here, we live there - and let each population take over running their new countries, would the Norwegians make Scotland into Norway? Would we make Norway into Scotland?
There's so much different between the two countries that to use one as a template for the other is a nonsense.
The phrase "debt inheritance" is slightly disingenuous. Firstly, you cannot inherit what you already own. Secondly the implication is that somebody else ran up the debts and now we're left to pay for them. Neither is particularly true in the Scotland vs UK context.
I expect that in the case of a divorce, Scotland would walk away with its share of the debt, probably pro-rata with population, plus or minus a few fudge factors.
So assuming it happens in 2016 that would be approx 1.5 trillion. Population of Scotland is, very roughly, 10% of the UK population, so that would be 150 billion, give or take a few 10s of billions. We'll also retain our share of UK liabilities (e.g. the need to pay pensions to the public sector and state pensioners, etc., where not otherwise funded). At a very rough guess Scotland's GDP is 15% of UKs (though exactly what would happen in a divorce situation is surely impossible to say - would a load of business migrate north or south post-split and thus shift these figures about?). So chances are Scotland would enjoy a lower debt-to-GDP ratio and, as Pete pointed out above, possibly a lower deficit also.
I'm with Tony - less government is better, which is why I will vote against independence (subject to changing my mind

). I do think that the figures show that if the rest of the UK and the new Scotland would cooperate on monetary policy then we have the possibility of being a little better off, but chances are we would spend that on a second tram scheme for Edinburgh
Cheers,
Robin