Dimitar, that will not be an impossible project.
I have thought about that myself for some similar projects in the last couple years.
My Hotsy rig has vertical burners so that will be a problem but for rigs that have horizontal burners the problem is just moving the bottom half out from under the top half and keeping it kind of close together because of the wiring and stuff so not really that big of a problem.
Other than cutting the top half off at the base plate and cutting a few extra inches off the frame for extra clearance, I really don't see a big problem doing this.
One thing to think about is that now your rig will need extra space to the side because of moving the pump/engine to the side from out from under the coil but it looks like you still have plenty of room for that.
Give Russ J. or Rex a call, I am very sure that they could help you out with this project and give you the pro's and con's.