No, it is not so accepted. Don’t fall for the liberal spin. Only liberal churches “accept” it.
Don’t buy that.
Sexually active homosexuals would not be welcome at many conservative churches.
Sexually active unmarried heterosexuals I think few would bat an eye. In my lifetime the term “dating” has changed from primarily meaning socializing and courtship to random one-night stands.
How many churches today make any attempt to discipline members who divorce, regardless of the cause? Even though Christ spoke against divorce, but said nothing that has been recorded about homosexuality.
BTW, I’m not in favor of “gay rights.” I just think the Bible classifies homosexuality as one of many sexual sins, in which they are roughly equal in sinfulness except for special characteristics.
Of these, the unnatural nature of homosexuality and incest makes them worse than “normal” fornication. The abusive nature of pedophilia makes it worse. And the betrayal aspect of adultery makes it worse.
But all sexual sins fall under the general term “porneia” or fornication.