how would u get serious heat into this room??

Do you run all of those ceiling fans? If so, that would keep the warm air from traveling to the other room.
If not, I'd consider doing what the other poster suggested.

I noticed in your picture that you still have some work to do on your ceiling? Maybe a lot of heat is going up those holes. I bet once it's finished you will see a difference.

As far as your dining/kitchen area, have you tried a small fan on the floor blowing out to the stove room? Is there anyway you can rig a cold air return on that same wall, opposite your door? In the lower corner? If you have counter tops or cabinets on the opposite side of that wall maybe you can rig a vent under them? Try to move the cold air out of there and that should circulate more warm air through your doorway.

looking at your pic i'd say not to run any ceiling fan and also because of where the stove is located alot of heat is going up those stairs. how is the heat upstairs? if it's good, that's where your heat is going. as to the fan on the floor try blowing from the kitchen to where the stove is but one difference. pull the fan a little bit inside the kitchen. it might move more kitchen air that way. some fans pull air from not only the back but from the sides also and if it is to close to the doorway it might move a little kitchen air and a little familyroom at the same time so you might not get enough movement from the kitchen.

Check out www.suncourt.com they seem to have alot of fans for moving heat around.
Merry Christmas