This has been an annoyance in a lot of the simple games, and an even bigger annoyance in the 3d simple games. The separation of parts in the rocket builder. Let me give you an example, If i attach say a command chip to a fuselage, then it becomes really hard to take of said command chip from said fuselage. My solution: allocate a dedicated button (say... middle click) that when clicked on a selected part, will separate that part from the part is is attached to. A simple thing. That makes the game frustration free. As to mobile... well when the game releases for them i'm sure you will find a way to make it work.
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