I would probably consider myself a Conservative, and would vote accordingly.
Lol, then you should be a republican, otherwise you would not be a Tory, or vote for any center-right party in Europe. Simply not the case. There are a number of people on the left wing of the Conservative party who made it very clear both this year and in 2012 that if they were able to vote in the US Presidential election they would have voted for the Democratic candidate. This category most notably includes the former Prime Minister David Cameron. It is unusual for a sitting UK Prime Minister to make his prefernces for a US election known but Cameron did this, not only in 2016 but also in 2012.
Although in 2008 Cameron backed McCain, whereas Daniel Hannan backed Obama.