And LTSpice isn't strange..?
AFAIK, LTSpice is based on the same thing (XSPICE), just extended differently. You won't get the exact same nonsense, but you'll encounter much the same problems, true of any simulator.
I haven't looked, but I'm guessing a graphical export will be impossible, or nearly so... you'd have to export the libraries too, so the pin locations (graphically), their numbers, and what model pins they map to, can be figured out. And then import those as whatever format LTSpice uses. I mean, all that info is saved with the .SchDoc, actual libraries wouldn't need to be involved, but the symbols still have to get translated and reconstructed somehow. I guess it's not necessarily intractable, but...
My peanut gallery is thinking, "if you really prefer LTSpice, then you won't care that its graphics are ugly anyway...if you aren't using graphics at all! Use the bare netlist like a Real Man"

Tim