The reason trans people are being targeted is because the Republican party has become a proto-fascist party. Part of fascism is to have an out-group that can be scapegoated. The best method to identify these targets is in the way they're framed.

They're infinitely strong with all the allies and lots of power. But they're also super weak and easy to defeat

This is the framing device fascists use to gain power. Of course, this target always changes and becomes more regressive. As the famous poem goes, "first they came for the communists"

The reason they target trans people is because they're an easy target. Trans people don't have the money of billionaires, the infrastructure of support, or the critical mass of people with positive opinions towards trans people. Fascism is different in every country that falls for it, so no it's not a requirement to hate Jewish people for a person, party, or country to be fascist. In an ironic twist of fate, I'd argue that the government of Israel is a fascist nation, with Palestinians being the target of fascist hate and influenced by Apartheid and Jim Crow (random aside, Jim Crow also influenced Fascist Germany and Apartheid).

Anyways, back on topic. The laws being passed to target trans people are also nebulous and vague, creating the groundwork to target the next group they choose to persecute. Historically and through stated visions, the next target will be gay people. To the gay people that believe "support LGB not the T", you will be the next target of Republican ire if you allow this attack on trans people to continue. Your observation is absolutely correct, the attack on trans people is not a whole-government operation, yet. Fascism is a merging of state and capital. As the death cult becomes more hostile towards people not in the in-group, the SEC will eventually start prosecuting trans people for securities fraud for working at a publicly traded company. It's a slow boil, don't be the frog in the water.