I have created similar situations as this before I gained more experience in directional felling.
There are several ways of dealing with trees in this situation, each one is dependant on what type of trees are the "broken" ones, what type or trees there are hung in, the good trees, and if they are broke off some distance from the ground or if they are being up-rooted. And, at what angle are they leaning.
If the broken trees are hung in the crotch of a good tree the removal will be more difficult than if the upper branches of the broken trees are just caught in the upper branches of the good tree(s).
Softwood trees usually have smaller diameter crowns than hardwood trees which makes it a litte easier to dislodge if they are the broken trees or the good tree that is holding the broken tree.
If the broken tree is just stuck in the branches of another tree and the brake is near the ground and mostly if not completely severed from the trunk then a small laterial pull on the upper part of the tree will most of the time allow the tree to complete it's fall to the ground.
From a safe distance I have thrown a rope up around the tree or a strong branch of the tree. Then attached a come-a-long to the base of a good tree a good distance away off to the side of the broken tree.
Sometimes just a few inches of movement will pull the branches that are hanging up off there resting place and the tree will drop down some more if not all the way. In this situation you are never in the direction the tree is going to fall and the rope will go slack as the tree falls.
If the tree is caught in the crotch of another tree it could require a great deal of force to pull it out. Under no circumstances would I recomend that the good tree be cut so that both could fall. If the broken tree is not completely severed from the trunk and it is caught in the crotch of the good tree it will have to be cut-off before it can be pulled out.
This can be a dangerous situation depending on the angle of the broken tree and how it is stuck. We had a wind storm a few years back and a two leader 12"DBH maple split off one side and lodged in the crotch of another maple about 14' off the ground. When I cut it free from the stump there was more weight on the top side so the tree trunk went up instead of down, I kind of figured it would because of the pivot point.
If the broken trees have to be cut off at the base first before then can be pulled free there are too many things which have to be considered to make any recomendation except get someone who has many years of experience to handle this.
The bottom line is if you have not had much experience cutting down trees in this situation then find someone who has. As someone else has already pointed out they call these type of trees widow makers for a good reason.
Good luck and be careful out there.
Randy