>I use a gender neutral restroom, but our office has none. ... Political?
Yes, don't use the bathroom at office.
>I use they/them pronouns, and I ask politely for others to use them... Political?
Absolutely, it is the very visible agenda of a very loud political machine. It's nothing but political. It can be an example of "political, n." in a dictionary.
That said, you don't need to be fired over everything political you do, just like discussing a little politics with your office colleagues once in a while is not necessarily an offence. Just as long as you stay respectful and polite when someone says no, they won't use your nonsense pronouns, very fine.
>Cause I've been told that being a queer person is political.
I doubt someone actually said that unironically, you're very likely deleting tons of context.
But the long and short of it is that no identity is political unless you make it, given the stereotypical "queer" person, I absolutely empathize with whoever said that statement to you, but "queerness", whatever that may be, itself is not necessarily making you political at work, it's just the kinds of people attracted to it. In theory, every ideology of every shape and color and identity can coexist under temporary and concrete banners like "make money".