You cant get the pure eurosceptic/non-xenophobic conservative combo in Sweden, but CD is definitely the most traditionally conservative party. Moderates would be too, well, moderate for you.
The Moderates' name from what I've gathered is just a historical anachronism. They're about as right wing as the Tories or the CDU with the only big difference being they don't have a hardline socon faction.
That is completely wrong (especially regarding the Tories). The party has moved left under Reinfeldts leadership and is presently the most centrist of the four centre-right parties.
So the name is actually pretty accurate nowadays.
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The name thing is weird though. Before 1970 they were called "Högerpartiet". Then they changed the name to affect the public's perception of them, just before choosing a leader that would move them further to the right (Gösta Bohman).