Yes, there may well be as link between the remaining sectarianism and the current relative resurgence of the Tories.
I'd say that's a cert.
Mind you, the connection between the OO and Christianity escapes me.
As far as the blasphemy law goes, it was debated in the CofS General Assembly back in 1987.
The overwhelming majority of commissioners backed its' abolition, and petitioned Westminster accordingly.
It isn't an issue in the Kirk, or the RC church, as far as I know.
Dunno about the rest.