I was in that kind of relationship, where it didnt matter if i talk to him on a good day, we just never agreed with one another. We even went to counseling and it didnt help.
anyway, i would consider counseling with a pastor or marriage counselor.
Is there a specific issue you can not agree on?

It's just our style of fighting. The styles collide. When I get upset, I tell him. He stays quiet and says nothing. I get upset because I don't think he's listening... and he tells me he's listening, just has nothing to say.

Then it gets to the point where I tell him how I feel, and he'll just say.."ok"...silence.

Or he'll be like, "whatever".

Divorce isn't an option.

i didn't mention divorce i mentioned counseling. are you able to go/
i doesnt seem like both of you are arguing, it seems like you are arguing with him.
some guys don't know how to express themselves verbally. he could love you and feel your pain but not able to express it in words.
i dont think you should be arguing at your husband because he's nonverbal. let him know that when you talk about something that upsets you that you want him be responsive. Be patient with him and teach him, if you love him.

you guys need to work this out...communication is key in a relationship...it sounds like you guys need to sit down and talk about this, address the issue and if you two cant solve it by yourselves then i think its time for a couselor