Without discussing the potential impact of falling educational standards, Scottish independence will not necessarily increase the likelihood of right wing governments in FUKD: the UK almost always gets the colour of government that England votes for 
Look at 2015: 56 SNP MPs, one solitary Scottish Conservative MP. Conservative majority. 
Or 1997: Blair won with 418 seats. Even without the 56 Scottish Labour MPs, he'd still have had a majority (330 required).
Ironically, one of the few times Scotland has made a difference was in 2017, where the 13 Scottish Conservative MPs made the difference between May being able to form a minority Conservative Government with the support of the DUP. If she'd not had them, she'd not have been able to 
It's a commonly held fallacy that Labour "needs" Scotland in order to form a government. It doesn't. 
Being slightly more positive on behalf of England, I remember being really despondent after 1992 that Middle England would ever vote Labour again, yet they did manage to reinvent themselves and Blair won a stonking majority in 1997 ( which didn't need the Scottish Labour seats to make up the numbers
)
So it is possible
even if I hope that Scotland is no longer involved 