To follow up, I decided to replace two of the old pumps with the new Behler pump. I have four pumps. One is for engine pre-heat. The front two zones I replaced. I now have plenty of heat throughout the coach. After installing the new pumps, I ran the system for a day or so. I could see air bubbles in the lines, but they worked themselves out after a few hours of operation.
I had to remove all four pumps to get enough room to replace the two old pumps in the back, with the Behler pumps. That meant pinching off the all the intact lines. I probably lost a half gallon of fluid during this process. Since the Behler pump has larger diameter hose connections, you have to use a reducer. This makes things difficult because the back two pumps have very short intact hose lengths, but I managed to arrange the pumps to make it work.
If you do this job, take lots of pics as you go. Make sure you match up the correct electrical connections to each pump. I used all new hose clamps and gladly threw away those worthless wire clamps AH used, that are nearly impossible to remove. I checked all four check valves to see if they opened and closed freely, and they did. So, no need to replace them.
The job took me about four hours to complete, while sitting on the ground. I had a hard time getting up after all that. I recommend getting up and moving around every so often.