For a Christian there can be no tacit tolerance or acceptance of perversion. "Homosexuality" is a perversion and a serious spiritual attack. To say, "hey, I'm personally against this sin, but can turn the other cheek and accept others doing it," libertarian approach is dangerous. We cannot turn the other cheek to abortion/infanticide, cohabitation, same-sex "marriage," and other social evils. And the important thing to digest is the fact that the LGBT lobby will NOT STOP until everyone bows to their throne. They started off with the "hey, you live your life, I'll live mine," harmless claims. It took them a New York Minute to start lawsuits against bakers and other folks who don't acknowledge their sins as normalcy. And it will only continue. I am positively convinced that it is the LGBT toxic poison that Satan will use to bring his greatest attacks on Christendom. The European Union is obsessed with LGBT issues. They ram it down everyone's throats. Corporations now as well as sports franchises and businesses feel the intense push to be "tolerant" and avoid "hater" status by going out of their way to kiss up to this movement. Eventually LGBT hordes will sue churches that won't marry their 'membership.' It's becoming like a labor union. With time, it'll wield insane powers worse than it has now. You'll see churches close because of lawsuits wiping them out. Smears, labels, lawsuits, and pressure will do great damage, sadly.
I've talked to people at church (thankfully not many!) who think being "gay" is a biological imperative that these folks cannot help or fight. The secular humanism steadily leeches into church life. People listen to social media, print media, online media, and radio/tv so much that it blurs the line of morality. Orthodoxy has ill-informed and poorly-catechized Christians as much as Protestants or Catholics, which is heart-breaking. But it's true.
I'm blessed overall to live in Central California where things are conservative. It's not perfect and heaven knows there is plenty of sin and social ills, but the general political climate is very, very conservative. My priest has no time for socialism or liberalism.
I submit that our politics can and should be affected by our faith. Priorities must be there. I can say that I detest conservative values about, say, drilling in ANWAR or tax cuts for the wealthy or deregulating Wall Street, but then I must support child murder, massive support for LGBT lobbies, race-baiting, disarming the populace, risking one-world government, taking tax money and helping fund foreign abortion, and being around people who are forcing a generally atheist agenda. Do I vote for a party with some great social and financial benefits if I'm in the right level of poverty or the right color and make sure I'm hooked-up but spiritually bereft in a sinful, lost culture devoid of morality, or do I vote for a very flawed group that at least doesn't fund mass murder and sodomy? I go for the latter, pinching my nose. Most Republicans make me sick. Democrats make me sicker. I was much more liberal before becoming a Christian in the 1990's. I was pro-choice, perfectly open to "gay rights" and pro-evolution in high school. In junior college, when the Holy Spirit found me, I was forced to change despite my own set of 'values.' Our faith makes us go in directions that aren't easy. But then again, Orthodoxy isn't easy.
I'm not saying officially here something so dramatic that "anyone in TAW who votes Democrat is going to hell." But privately have a strong sentiment about how we participate in political matters.
Having conservative or traditionalist views about sexuality doesn't mean you believe in requiring other people to behave as you do.
In the Lutheran churches, the LCMS are more conservative about sexuality than our church, the ELCA, and yet quite significant numbers of LCMS have favorable attitudes towards gay rights, far more than you'ld imagine based on official church statements. In fact, as my pastor points out, politically and even pastorally LCMS and ELCA are not that different.
I'd imagine something similar is true with Orthodox churches. There are plenty of Orthodox Christians that are exactly like Tom Hanks, for instance, who goes to the Orthodox Church but his politics isn't that different than any other American who leans politically left of center.
Orthodoxy did not change my political attitudes at all and that's one of the reasons I ran into tension at my former church, where conservative attitudes politically dominated.