the daily heil bangs on about muslims and socialists every single day. they are anti-immigration, anti-welfare (well, just anti-poor people in general) and anti-europe. They hate taxes, human rights and intellectuals. What about that isn't conservative?
In general, about politics and our parties, you're completely correct. The Conservative Party are the ones who legalised gay marriage, for example. However, when it comes to newspapers, we have a tonne of right wing drivel.