"LGBT Americans feel Trump has sacrificed them to shore up his evangelical base"
That's because President Trump is doing exactly that.
Trump knows that conservative Christians will support him, no matter what, as long as Trump throws GLBT people under the bus.
Trump has no ideological core. Trump doesn't care one way or the other about GLBT people. Trump is no more religious than Emperor Constantine was. But Emperor Constantine saw Christians as a means to power, and Trump sees conservative Christians in the same light.
So, wake up GLBT Americans! Conservative Christians want the right, in the name of religious freedom, to deny us any goods or services they please, any job or housing opportunity.
But, if we discriminate against those same conservative Christians, they can sue us for discrimination.
Conservative Christians want to discriminate, but not be discriminated against.