It makes no sense for the Tory party to support fptp

First past the post is certainly bad for the smaller parties but it doesn't even make sense for the Tory party (the generic party of the centre-right) to support it. We can assume the Tory party do not like their opposite... the Labour party... if they did then they are not Tories. So given that Tories are in opposition to the Labour party then it would make sense for them to oppose fptp which gives the Labour party an advantage.