Inclusiveness includes people that might disagree with you, and everyone that disagrees with you are not wrong because they feel the way they do.
That's not actually what "inclusiveness" is about, it's just how conservative news orgs (not necessarily you) have attempted to gotcha liberal institutions for creating safe spaces. Inclusivity, as a societal goal, is to allow historically marginalized voices a place to talk without fear of retribution, a few that's very real given America's spotty history with civil rights. As a conservative, you're not actually part of that group because, well, you hold all three branches of government, and outsized influence over most of the internet. Oh sure people give you shit for being a conservative but when bills are signed and regulations relaxed, it's according to your party's wishes, not ours.
Inclusivity is an attempt by liberal/left institutions to create a space where oppressed groups can go to not feel oppressed for once (despite the actual day to day oppression they face), so the first priority is to make sure people feel comfortable. Now, you think that you should be allowed to disagree with people and yeah of course not everyone needs to agree all the time, but that's usually in the sense "oh I disagree whether mustard or mayo belongs on sandwiches". A lot of conservative ideology is intrinsically harmful, and again to reiterate the previous point, inclusivity means building a place where people don't need to be hurt. Want to participate? Stop hurting people. And if your default ideology is one that's hurtful, you don't have the prerogative to say "I demand you stop being hurt", but rather, must reform yourself to make sure you're not hurting anyone.
Basically, you're entitled to things you believe, but if you're in someone else's house, you abide their rules. This is an idea most conservatives should be able to grasp.