* Bans on teaching about the existence of LGBT people[0].
* Bathroom bills[1] that could call for genital inspections that would require this person[2] to use a women’s restroom because they were born with a vagina.
* Democrats passing (and majority of Republicans opposing) The Respect for Marriage Act, which enshrines into Federal law the right to marriage, regardless of religion, race, gender, or sexual orientation.
* Bans on gender affirmative care but only for LGBT people, not cisgender individuals.[4]
So these are actually laws, beyond just rhetoric, these are actions that discriminate. There are stark differences that are irreconcilable between the parties. One supports LGBT rights the other opposes.
Your point about Abortion is baffling. You are claiming that one group wanting to not make abortion illegal is engaging in government overreach? That doesn’t make any sense to me.
The approaches the two parties take to war, immigration, government spending, taxes and so on are different if you look into it. There are a lot of similarities. American hegemony is going to be very similar even if a third party had control of the white house. Even thinking both parties are the same is something similar to both the left and right do! So are communists and neonazis the same because they both believe America is bad and both parties are the same?
[0]: https://en.wikipedia.org/wiki/Anti-LGBT_curriculum_laws_in_t...
[1]:https://en.wikipedia.org/wiki/Bathroom_bill?wprov=sfti1
[2]:http://thefightmag.com/wp-content/uploads/2014/06/BuckAngel1...
[3]: https://www.reuters.com/world/us/us-congress-expected-pass-b...
[4]: https://en.wikipedia.org/wiki/Transgender_rights_in_the_Unit...