The home switches of the 7344 are designed to be high impedance inputs. So as long as your sensors' pull up resistors aren't huge, you should still be able to make out logic highs on the home switch input.
Kyle, Thanks for the answer, but why is this input impedance value such a secret. It is needed to determine "if the pullup resistors are huge". Can you give me a number ?? ohms. Thanks, Bob T