Liberalism and Wokeism can not coexist peacefully together. Neither can Christianity and Wokeism.
I suspect Christians and Liberals can get along though, because Christians are about "love they neighbor, and let God slowly work to bring them to the light." One can even see that in the above passage: "homosexuality is wrong and can not be condoned, but at the same time homosexuals must be respected with compassion and dignity." Meanwhile, Liberals are... Liberal: "let Christians be Christians".
The Wokeists, by contrast, are a bit like Muslims in their doctrinal calls for absolute militant domination over non-believers. Wokeists need their own country and State apparatus. Unfortunately, even that may not be enough, because they inevitably would attack their neighbors. Ultimately however, I think Wokism will run out of steam and dissipate in the wind. Look at how quickly the mainstream responded to the school indoctrination, for example, once it was brought to the attention of the general public.