The reason you're getting the interactions you are is because you set up a false dichotomy. Kirk's moral calculus involves accepting that possibly some more people will die, beyond what would happen otherwise, in order to guarantee what he considers an essential right to everyone. This is perfectly compatible with "caring about lives".

It's interesting that you mention driver's licenses. Would you say that intellectual consistency would require a "pro-lifer" to be in favour of nobody being allowed to own a car? After all, sometimes fatal driving accidents occur.