As an aside, "transgenders" is considered a slur. Using that noun to describe transgender people (or even to say "transgendered people") is not advised. I'm older, as many of us are, and terms change. I know it's sometimes hard to keep up, but we need to try.
Roberta: I'm very happy that the trip went well for you. Unfortunately, people from outside of the U.S. have been led to believe that we're all living in a dystopian hellscape. I can tell you that while our current federal administration is indeed horrific, there are many states, counties, cities and towns here that DO respect LGBTQ people. Unfortunately, a significant portion of our population has been mislead. They've been fed lies and misinformation and most remain plugged into an information network that reinforces their biases. I do wish people would educate themselves and learn about what's going wrong here, but most don't want their beliefs challenged. And blaming "others" for their perceived problems is a go-to strategy, one that is largely paid for by wealthy folks who are happy to pit us against one another while they cheat on their taxes, destroy the planet and pick our pockets.
But I digress.
I have an "X" gender marker on both my driver's license and passport. It most accurately reflects how I feel about my gender right now. I present as male but years of HRT have softened my looks to something neither male nor female. I know that my choice has made it potentially difficult for me, but I haven't yet run into any trouble. There are definitely a few countries to which I cannot travel!
The searching of electronic devices at the border is relatively rare and no, customs officers are not asking if people "like Trump." This is one of those urban legends that has grown legs. If anyone has DIRECTLY experienced something different, I'd love to hear about it, but the stories always come from "my uncle's employee's mother-in-law, so be wary of stuff you read online.