I think this is a really cool idea! The idea of your towers being characters that carry over between missions is a really good way to freshen the idea up. It did feel a little bit weird that the soldiers couldn't be moved during a mission or maybe I was just missing out how to do it. The difficulty seems to spike incredibly quickly but I know that you have an option to end the mission at any point, it just didn't seem to clearly suggest when you should choose to back out. That may be something that a tutorial can really help with though. So overall I think the core mechanic feels good and if you took it farther, I think you'd have a lot of room to work with that idea.
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Thanks for playing, and glad to hear you enjoy the concept!
Moving soldiers is something I haven't added yet, but it is planned for the next update. It is a bit tricky to balance since it could be used to save a tower from getting attacked. I think to work around this I will allow towers to move only in the same area they are placed, and when moved they will move to the new position slowly. I think this will also add another layer of engagement and strategy. Perhaps moving them more freely could become some kind of upgrade in the future like a heli pickup as well.
I am also adding a difficulty indicator to each wave which should hopefully help with suggesting when to back out of a mission, but I will have to see if it actually helps.