The biggest trouble I see is that the definition for the word "tolerance" seems to have been changed from something along the lines of, "ability or willingness to allow, or endure, something, even if you disagree" to something along the lines of, "willingness to not only allow, but support and/or affirm, something, even if you disagree."
I am perfectly happy to treat people with respect and dignity and will not go out of my way to harm them physically, emotionally, or mentally. But I will also not go out of my way to affirm or support that with which I disagree. Particularly so when, for me personally, it conflicts with my religious beliefs. Quite simply, affirming that a biological man is, or can be, a woman is in direct conflict with my religious beliefs. If nothing else, it is a lie and a lie is a sin in the eyes of my God. I am not willing to sin to appease any person.
The following example is not meant to persuade any secular person, or really even any other religious person. It is merely insight into how I, and maybe others, feel about this situation.
Jesus modeled how we are treat sinners (by the Biblical definition) many times throughout his life. In particular, there was a woman which was caught in the act of adultery which was brought before Jesus for judgement. However, instead of persecuting the woman, He instead turned to crowd and reminded them of their own humanity and past mistakes. Then, He refused to condemn the woman but urged her to cease sinning going forward. It's important to note that He did not excuse or ignore the fact that she sinned. He also did not approve or support her choice to sin (since He urged her to cease sinning). But He did show compassion on her and her situation.
Similarly, I'm more than willing to show compassion and love for those in the midst of sin today. But I refuse to insinuate that I condone or support their sin. I love people, no matter their particular circumstances. But I will not be forced to commit sin (per my personal understanding of scripture and personal beliefs) but affirming or supporting sinful acts. I also will not provide my personal opinion on their sin, or lack thereof, without expressed request on behalf of the other person as my personal beliefs for myself are irrelevant in regards to other people. It is perfectly easy to use the name of an individual rather than any particular pronoun.
Outside of the religious component, what happened to, "Your rights end where my rights begin?" As Buzz noted, one is welcome to call himself/herself/themself absolutely anything he/she/they prefer. However, they are not welcome to require me to use the same terminology. Similarly, he/she/they are welcome to call me any number of things (intolerant, selfish, bigoted, arrogant, ignorant, racist, zealot, etc.) that he/she/they prefer. I can get upset if I want, or I can move on confident that I am none of those things. I cannot require that person use my personal choice of descriptors of myself (handsome, charming, always hammering, luscious, well groomed, full head of hair-ed, etc.).