It might not be solely the faction leaders' decision to say no to you SMI. But you should accept it when the general decision in the faction in question would be a 'no'.
You would not have fun in there anyways.
It is probably the same thing when someone wants to play a proper human in furry communities, and if it is an universe set up for furries only.
I'd not feel comfortable with a talking dog in my real life. My char would not feel okay with a talking dog in Sirius. My char would also not feel comfortable in RP with a furry, unless it is forced on me with a lore that says, 'furries are ok'. No, right now, they are not. You're alien, and you have to make up ridiculous things that have no prior backing to make it fit to the universe I am in. And I don't have to accept your attempts to alter my universe in such ways.
It is not right to wish people to accept something that's simply NOT RIGHT in the scene we RP at. Refer to Haste's example.
Meanwhile, you're free to play and have fun with people who can accept such things.
But, you should try to get SRP ID for such a character for everyone to agree to it. Preferably with the line added in the SRP post:
-May be a furry.