My dh doesn't rinse and absolutely won't budge on it. I don't care anymore - if it gets me out of having to wash the dishes I'll put up with a bit of dry soap! 
Ha ha - I think that is DW's attitude with me.
We have recently had a new kitchen fitted though with a high mixer tap and it's a 1.5 sink (the small sink at side of larger one ) so that makes rinsing easy. I only do it with the plates and dishes though if there's a lot of suds on. We do use a bowl.
It's about compromise I guess....when she first came over for a visit I was washing up and she just looked at me and then said "are you going to rinse those" and my look back was one of puzzlement! I did it that time to placate her but she doesn't like to wash up and she just leaves me to it now.
Although we take in turns, who ever cooks the meal then the other does the dishes.
Mind you - what annoys me.....the amount of leftovers in the fridge! A small container of this, another of something else....not enough for a meal for 2 and then after a week I'm having to throw it away because she complains that we don't have a big enough fridge!