No, having a problem with republicans as a group just because on average they are more callous or bigoted, that is bigotry.
Suppose that black people are, on average, more homophobic than white people[1]. I have a problem with homophobia and homophobic people, not black people as a group, because I can differentiate between the group and the individual.
Suppose that black people are, on average, more homophobic than white people[1]. I have a problem with homophobia and homophobic people, not black people as a group, because I can differentiate between the group and the individual.
[1] https://en.wikipedia.org/wiki/Homophobia_in_ethnic_minority_...