I have NO push toys
I have NO pull toys
I know these toys teach a certain skill but those skills can be learned on someone else's watch and not mine.
I got rid of everything that fell into those categories for the VERY reasons you mentioned.
I even went so far as to cut the plastic cord off the Playskool phone so the kids couldn't pull it around anymore....drove me insane.
As a matter of fact, I remove ANY toy the kids fixate on.... IMHO, that only creates a territorial issue and I hate dealing with that.