and, while in the past, Tories tended to be simply pro-American whoever was in power, and didn't get involved with the American party system, more recently some have shown active support for one party or another. Thus we know that Boris Johnson preferred the Democrats in the last couple of elections; and that Alan Duncan supported Kerry in 2004. On the other hand, Liam Fox worked very actively for Mitt Romney, and Iain Duncan-Smith spoke strongly in his favour, and worse, had earlier collaborated with Santorum(!) in a Wall Street Journal article on 'compassionate conservativism'. My former County Council leader Keith Mitchell also supported Romney and even published a birther article on his blog (yes, I don't quite see how Obama's birthplace features in the duties of the Oxfordshire County Council leader either).
I would guess that there are probably more supporters of Republicans than of Democrats among our Tories who have views.
Overall, I would say that on average many West and North Europaean conservatives resemble Democrats; East Europaean conservatives are more like Republicans; and our Tories come somewhere in between. But Democrats vary widely too (Republicans used to as well, but are now much more forced into a RW mould). Michael Gove strikingly resembled the current Democratic Education Secretary; but that is an indictment of Arne Duncan, not something in Gove's favour.