Paul,
That looks like a wonderful project. I have a 1250 that I am trying to get back into running condition and I call it a nightmare, but actually, this is pretty fun. I am no mechanic, but have had the pleasure of working with someone who is not stumpable. I kept my mouth shut and learned a lot. I also spent thirty years designing and building stage scenery, so I have a dual interest in your project.
First, you may wish to consider finding a 12 or 14 horsepower Kohler K series AQS engine to go into your 1250. That way, your motor mounts and and drive shaft will line up perfectly, there will be an alternator in place for the starter, and a PTO for any auxiliary accessories you want to add. If you do this, be sure you do the engine cradle modification and use new ISO mounts.
If you are set on using the Briggs and Stratton, that would be okay, I guess. You will have to design a whole new motor mount system, fuel tank support, throttle and choke controls and wire a new electrical system. I think the drive shaft is 5/8" 4140 shaft steel. A good machine shop can make you a shaft any length you need. I would recommend that you use the existing flex joint and flange mounting system for mounting the drive shaft to the hydraulic pump. There is a bushing and a small ball bearing inside the bushing to help center the shaft and help it flex as necessary. BE SURE to install a cooling fan for the hydraulic pump, available from Cub Cadet, at the pump end. For the engine end, you can get a "driver to driven" coupler from a local bearing supply house. Two makers come to mind, Lovejoy and Dodge. Both companies make reputable power transmission products and a person knowledgeable with the product line can design something for your need. They do it all the time.
This sounds like a wonderful project. All the best of luck with it. Please keep us posted on your progress.
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