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Weird sexual atmosphere in my lab due to PI. What to do?

I feel every uncomfortable in my lab, and I think a lot this has to do with a weird atmosphere presented by my PI's behavior.  I want to start out by saying that my PhD work is not going that well.  This maybe influencing my opinion of the situation and/or the situation may be causing me problems in being productive and relating to my advisor.

I have been in the lab for two years and there are two female students (I am one) and two male students and the PI. My PI's behavior is very erratic, he can be extremely moody and is often absent for unspecified and unannounced periods (sometimes days, sometimes just for the afternoon). This makes him hard to work with all on its own and reasons for it because clear over time.

I started in the lab at the same time he started at this school.  He left a tenure track position at another school at least partially because it was revealed that he was having an affair with a student while he was married.  It seems he is still involved with this student (at least on and off/long distance) and divorced.  He is also having a rather poorly disguised affair with another student in my program in the neighboring lab  (she is my friend and has told me about it) and, at the very least, an extremely inappropriate (though I do not think physical) relationship with the other female student in my lab.  (He takes her to conferences with him and no others, calls her to pick him up from bars when he is drunk, asks to hang out with her and her boyfriend, etc.)  It has also come to my attention that he is having an affair with another young professor as well.

The students seem 100% unbothered by all this, so I am not too worried about them, all three of us are good friends and I figure I should let them sort out their own lives on this, we aren't 18-year-olds anymore.  The issue is that all this makes me feel EXTREMELY freaked out and uncomfortable.  I was in another department once where there was this same sort of rampant emotional and sexual concubining of the female grad students and postdocs by male PIs and it leaves a young woman asking herself, "when will he come for me?"  "When he does, what will I do?"  "Do these students get favors from the PI because he desires them sexually and will I be denied these things if he does not?"  I don't know how to talk to him at all, I feel like I need to flirt and be adorable just to get his attention.  (He just treats the male students like junior colleagues and their relationships are not as fraught or complicated from what I can see.)

I strongly feel this is negatively affecting my work and I don't know what to do.  I am miserable. He can't decide what he would rather have me do as he seems chronically dissatisfied regardless of my work and thus he is constantly changing my projects.   If I didn't have a good experience as an undergrad or as an MS student before this, I would have thought I was just a terrible scientist.

Although I can't think that the other faculty don't know about any of this, they act like nothing is happening.  This school is about two rungs below the one he left and he is a heavy hitter.  He has two *Science* and three *Nature* papers in a department where I think only one other professor had a paper in *Science.*  He has been awarded four big grants since he got here, including a special rising star of science award.  As you can imagine, not everyone in the department loves him, but all the higher-ups including the chair of the department seem to act like they can't believe their luck that this superstar ended up in their lowly little department.

I feel trapped.  I feel like i need to go to another school and start all over again, but am concerned that without his recommendation I just need to leave academia altogether. 

*EDIT - Thanks very much, you have been giving me excellent advice.  At this point, I feel like I can conclude (a) that my advisor is, indeed, a douchebag and I am not overreacting and (b) that I have no future in this lab, and maybe even in this school. At this point, I think leaving the school is better because the reach of my PI is far in the department and he has already shown himself to be vengeful towards me when he even thought I was going to expose him about his bad behavior. Any advice on how to move on without changing fields or going to a lousy school (especially since application deadlines have all ready passed) is much appreciated.  I just want to add that I am not in the US, but in Canada, and there doesn't seem to be the same level of awareness where I am about certain gender issues and sexual behaviors as there is in the  US, at least not at this institute.*
gpt
Ew.  *Walk away.*  Find another advisor.  If you have to, apply to another school.  Don't bother asking your advisor for a recommendation letter.  Yes, there is a real risk of not landing in another good department, but would that really be worse that the situation you're in now?  Really?

You may want to raise the harassment issue—carefully, discretely—with another trusted faculty member, or even the department chair.  Use the phrase "potential lawsuit" in passing.  If the response is anythign less than fully supportive, *GET OUT*.