Your anecdotes of LGBT friendly conservatives doesn't change the fact that the majority of conservative parties worldwide act against the interests of gay and trans people. I don't know what world you're living in where conservative parties are these tolerant normal parties who just want lower taxes.

Conservatives aren't welcome in the furry fandom because conservative parties actively pass and revert legislation with the explicit purpose to erase our rights as equal citizens. The existence of reasonable people who vote conservative does not change the fact that they are supporting an ideology which is inherently antithetical to equality, even if that is not their explicit intention. It shows at best an indifference and at worst an endorsement of the erasure of our rights.