Well I think that if you don't talk to them it might make them more mad at you. They might think you just left and want nothing to do with them. Do they hate you because they think your the one that tore apart the family? My mom cheated on my dad and I was very upset at my mom. I lived with my dad and hardly talked too or saw my mom. Fast forward a few years and I live with my mom full time and see her everyday. Just takes time to get over things. Your girls won't hate you forever. I hated the world when my parents split, especially because I didn't see it coming.

No. Keep trying to see them. Show them you love them.

Sorry u r in such a tough place right now. I think it's good u filed for the divorce. If u would not have, when your girls get older, you not filing for divorce would have taught them that, it is ok if they cheat on their husband, because he'll "still" stick around. it's good the girls are learning early that sometimes in life, you can not have "both".
Yes, the girls do hate u, but don't take it personal. The best way for u to handle them hating u is, tell them, "I know u hate me for filing for a divorce, that's ok with me, you girls can hate me as much as u want to and need to, until u dont need to anymore. And however long that takes, is however long that takes". That is what they need to know, and hear from u. Let them know it is ok for them to hate u. And when u give them this permission, they are not gonna hate you as bad, or as long as u think they will. And u have to know within yourself that, it is ok for you to be hated by your kids. It's ok for u to be hated by anybody for that matter. Your kids hating u wont last for ever.
The biggest reason why you have to give your kids permission to hate u for whatever the reason is, is because, if u don't, then they can very easily develop a "love/hate relationship" with food, drugs, alcohol etc. You don't want that.
As far as the kids not wanting to go with u. I would talk to them first about what I've mentioned here, and see if they change their mind. It's a slim chance because girls usually want to go with their mom, like boys usually want to go with their dad.

There is no reason to hate yourself. You did the right thing. This is one of those things in life where, the kids will understand, and respect your decision, as they get older.

No, it wont help if u don't talk to them for awhile, and it wont help them heal because, all that will do is give them an "abandonment issue" of, "my dad left me because he stopped talking to me". So u dont wanna do that.

You said, "Will relationship get normal with my kids"? The idea here is to not allow the relationship with your kids to "get abnormal", so u wont have to work on it "becoming" normal again. The way u hold on to a "normal" relationship of the kids is it, keep the lines of communication open to them. Let them talk to u about whatever it is they need to talk to u about. Don't slam their mom to them in any way. Let them know, "both u girls came from love, I dont hate your mom, but u just dont cheat and think it is ok by staying". Keep things simple. Less is more.
Their are face to face support groups for kids and the divorced parents to attend that can help them see and experience they r not alone. I would look into a "Divorce Care Group". Most churches have them.