I was diagnosed with abnormal swallowing by a dentist a year before I was diagnosed with MS.

I don't get the same sensation midway down as you've described, but what I do get is a feeling as though there's a blockage in my upper throat. I have to bend my head down to swallow at times to avoid this difficulty (the food will go down, but at times it's very uncomfortable).

Recently it was at it's worst... it was like I was hitting something in the back of my throat and it was uncomfortable (not painful) to swallow even liquids. Again, tilting the head down (chin to neck) was the way I found to get around this.