Neal
Cedars don't grow back, unless you miss one branch near the ground. That branch will eventually grow up into a tree. Cedars reproduce very quickly by their seeds. In our area they grow just about anywhere.
I have pushed them out with the JD crawler, but it doesn't work as well as you would think. It is pretty time consuming. The small cedars (2" or less) are too 'rubbery', the trees just bend down and the dozer blade slides right over the top of them. You back up and they stand right back up again. 3 to 4" ones push out fairly well. Put the blade up high and push to expose some of the root, back up and push under the root ball. Larger than than 4" you spend a lot of time digging around them so that you can get under some of the root ball. Luckily cedars like most evergreens have a small root ball. A larger dozer would work well if you didn't mind pushing a lot of the grass and dirt out with them.
I had seen your treegetter post and have considered them also. But, wasn't sure if it would work for my usage. I would want to be sure it worked with cedars in our type of soil before spending the time and money to build one(looks like a lot of welding went into yours). There is a lot of clay around here. After seeing other shears in our area in action and talking with you, the shear seemed like it would definately work. It does seem to work well and it is much faster than pushing with my dozer.
The problems I wondered about on the treegetter.
1. Cedars have a lot of taper and bend fairly easily when pushed against. They may be 4" at the stump, but .5" at chest height. I am afraid it may just slide up the tree. Although angling it down into the root like you have suggested may eliminate that problem.
2. My skid steer doesn't have much lift capacity(600lb operating, 1200lb tipping load), so I don't think it would pull them out of the ground. My NH TC45D can lift 2000lbs so it would probably work, but I don't have a quick attach on it. So removing the bucket with grapple would be time consuming. 3pt would be an option.
3. The treegetter would have a max diameter of 3 or 4" tree. Just guessing by your pictures.
I like your idea of brush hogging the tree once it is laying down. I will have to give that a try.
A treegetter may be a future project, but for now the shear is a giant improvement over the other removal methods I have tried.