Re moving hand throttle when pushing down the foot feed, mine does the same thing. To open the carb when using the hand throttle, I have to move it all the way to the top. So any replies I will be watching too. The two moving at the same time, that might just be a cleaning and lube issue. Yes mine too!
You might also post on the Dodge Brothers Club face book page;
https://www.facebook.com/groups/dodgebros/It has a lot more views and activity then this page and might get help faster.
Sorry if anyone finds that offensive, but is just the way it is.