No they won't. But, unfortunately they are more than willing to tolerate homosexual priests and bishops so long as their sexual activities do not rise into public view. And, even then, they will likely tuck them away somewhere until things blow over.
However, a solution for both may be at hand. Send all the homosexual clergy over to the Episcopal Church, and welcome all of the heterosexual clergy of the Episcopal Church into the Catholic Communion. Both will be better off for it and happier to boot. This is especially true for those going to the Episcopal Church where a belief in God is not required.
There were some homosexual bishops who slipped through the cracks in the Catholic Church at a time when dissent was on the rise. And they in turn evidently formed an underground network within the Church, which encouraged bringing more gays into the seminaries as priests. For the most part, that has now been corrected. Not entirely, because nothing human can be done perfectly in this world. But it has to be done VERY secretly if it still happens anywhere.
There is a great difference between that, and what happened in the Episcopal Church, where gays were made bishops explicitly and openly BECAUSE they were gay, and for no other reason. That was certainly the case with the bishop of New Hampshire, and it appears to be the case again here.
They are well aware that this will split the church and drive many out, but they don’t care.