It's one thing to disagree about optimal economic policy or how prisons should be run. For these issues there are legitimate, differing views with different goals and different ways of reaching those goals. And indeed, it would be silly to throw a fit over such a disagreement.
Using your power, whether it's your vote, your money, or your vocal platform, to deny other humans basic rights for no valid reason other than "some old book kinda says it might be wrong if you read it in this particular way" is not that kind of issue. There is a right and a wrong side here, just as there is in human slavery or giving all adults the right to vote. It's entirely reasonable to throw a fit when someone is using their power to deny you, your loved ones, or simply your fellow countrymen their basic right to happiness.
It is baffling to me how you can write off fighting back against real and effective attacks on the basic rights, dignity, and even humanity of homosexuals as "getting offended."