I did one just recently. I use the smaller diameter carbon pushrods, not the big arrow shaft type.
First, I cut a 3" section of thinwall aluminum tubing for over the outside of the carbon pushrod joint, with the I.D. of the aluminum being just slightly larger than the carbon pushrod O.D to allow for some adhesive later during the assembly process. Then, I cut a 3" section of threaded 4-40 rod for the inside of the pushrod joint. Clean, sand and/or scuff all parts prior to assembly.
Use JB Weld for all assembly and "work" all parts of the assembly as you go to make sure that the JB Weld is spreading well everywhere for thorough adhesion.
First, glue the 3" 4-40 rod into one half of the carbon tube, leaving 1-1/2" of it exposed, align and allow to cure thoroughly. Next, slip the aluminum tube over the carbon tube and slide it away from where the two pushrod halves are to be joined. Then join the other half of the carbon pushrod over the exposed 4-40 rod, butting the pushrod halves together and aligning for straightness, and let cure thoroughly. Once cured, sand the outside of the pushrod joint if necessary, down to the original O.D. of the carbon tube. Using more JB Weld, coat the carbon pushrod over the joined section and slide the aluminum tube into place over the outside, centering it over the joint. Don't forget to work and twist the aluminum tube back an forth a few times to make sure you'll get a good adhesive bond internally.
This process takes a little time and patience, but you'll end up with a very sturdy connection once finished.