ex-GF wants to remain friends

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Well, don't laugh at my behaviour. As soon as I turned sober, I realized what kind of mistake I made.

Brief description
>girl obviously likes me, very flirtatious
>i once took an initiative
>she wanted me to be FWB, i refuse and we proceed into relationships
>she says yes because she wants to try, wants me to stay friends if everything falls apart
>i answered "sorry but i cant"
>two months fast forward
>constant nagging, conflicts, etc
>feeling that i walk on eggshells
>i cant be honest anymore, i start to lie, i suppose it's felt
>she says she doesnt love me anymore, it wasn't love for her but sort of game
>i say "ok fine"
>two weeks forward
>wants to be friends
>i refuse, saying that i can't be friends with someone who is still very attractive to me
>she says that now she is a friend with her ex (not me), people stay friends even after disasters
>"so you just forget everything and you're done, YES?"
>"so you only need sex from me, how can we be fwb for now even if we are not friends"
>"you are ready to tolerate humiliations just to fuck me"
>"i think you just want to fuck me and drop"

And the final is
>"i really missed you, but by your replies you fell in my eyes"
>"you're pathetic"

Then I went really fucking mad, being drunk at the same time. I told that I don't want to be friends with someone I find attractive, neither I think I'll be a good friend. Told that at this point I don't care if you think I am complete asshole who only wants sex, I offered -- you just agree or disagree, accept or decline. If you disagree -- please, find new friend and boyfriend, don't involve me, I am sure you have lots of friends. I am 150% sure you'll do completely, absolutely fine without me.

Honesly, sometimes I feel she's very sensible about my wrongdoings. I fucked everything up, yes?
I don't know. Am I bad human being for that? Am I an asshole? Should I just tell that I am sorry for my emotional outburst and go no contact?