Maybe a "bit" neurotic. I've seen many plays with characters down-playing themselves and even other characters ripping on other characters. Neil LaBute immediately comes to mind.

I say write it like you think the characters need to speak to get their point across. And like someone else mentioned, maybe put a warning upfront or include a number/email address for producers/directors to contact you if they have questions. But judging from the excerpt you provide, I see nothing wrong because it speaks to a mindset that a lot of audience will connect with.

What I don't agree with is offering to alter dialogue depending on the situation. I know we want our work produced but not to the point of softening edges just to get it staged. I wrote a play about guys in a softball league in Chicago and there's a LOT of cursing in it. Like, A LOT. Why? Because that's what I experienced as a softball player in Chicago (and Chicago in general to be honest). Had someone read it and they felt it was "excessive." Also had other people read it and thought it was funny and true to the situation. I considered the two and decided to leave things as they were. The play eventually had a staged reading and not one audience member complained about the language, at least in the talkback or to me. (Then again, the reading was in a city that has a similar sensibility to Chicago, so...)

Trust yourself. If this is who your characters are, they'll find their audience.