In which case, it’s at odds

, because Church teaching requires a comprehensive understanding and application of sexuality, reproduction, marriage, and family. If your view is conflicted, your view is misaligned, by definition. Sorry about that.
It doesn’t say anything about we should feel. It does say, as does Catholic moral theology for all time say, that our thinking should be done with our intellect and will. In fact our hearts are directed, by that very Cathechism, to be sympathetic and compassionate. But compassion does not translate into legal support.
No, The Church has actually registered increased compassion, not decreased compassion, over time, especially recently. It has said nothing about the free will of secular homosexuals, and has vigorously opposed hateful activity among those who so identify, and against unjust discrimination (the explicit wording of which is right there in the catechism). It has said that Catholics are not, respective to the Catholic view of marriage and sexuality, to support legal arrangements which deconstruct traditional marriage, or encourage such deconstruction --by expansion, by redefintion, by claiming that a “parallel marriage” is occurring, by claiming that sexual fidelity between homosexuals (“monogamy”) sanctifies an intrinsically evil act, and by claiming that repeating that act over and over (“commitment”) sanctifies it. Maintaining the singular acceptance of traditional marriage as a social good is not an unjust form of discrimination, but a valid societal distinction which supports the rights of children to parents of both genders and which encourages the balanced, heterosexual family unit as the essential building block of a civilized society.
That’s good.
They are working with them. That’s why there are things called gay ministries in various parishes, to assist those who seek to live a chaste life despite their attractions. That’s why there’s the organization Courage. That’s why there are posters on this forum who have lived through that lifesytle, and been able, with the help of much grace, to liberate themselves from it and are now in a better place spiritually and psychologically. (By their accounts.)
The Church also loves with agape love, which is to desire the highest good for individuals, for the sake of their salvation. Love is not condemnation, but neither is it permission. The Church is not condemning; she is not permitting or enabling. (Different things.)