I don’t know of a way to do this. The conversion is picking up “connections” which in Eagle is also ICs and other internal parts where Fritzing only wants the connectors (not the ICs or passive components.) There isn’t currently a way to do this that I know of in Eagle2Fritizing so you have to manually delete the connectors for ICs and passive components (as well as add breadboard view images for the parts that aren’t in the “and” file which I usually do manually as well rather than update the “and” file) but that is still a lot easier than making the part from scratch. There is also a lot of editing required in the fzp file as well since Fritzing prefers that the pin numbers be in order and eagle2fritzing usually leaves them out of order because of the extra connectors being deleted. I have some python scripts that will help with that by rearranging pin numbers in svgs but they are still too crude for general release yet as I have to modify the python code to change the behavior to match the what the current file needs. I haven’t yet figured out how to do that from the command line yet
edit: For schematic I usually ignore the eagle2fritzing schematic and create a new one from either the templates here:
or lately via Randy’s Inkscape extension here:
because the eagle2fritzing schematic is the wrong scale, wrong colors and has pins which are the old style .2in long rather than the current .1in long (which both of the above use!)
Peter