Hello,
Most cable providers use the MAC address of the modem (or computer) to allow you to establish connections to their network. That way if you try to connect with out paying or are late paying they can just turn off the access for the devices MAC address. There is also a physical filter installed on the line running to the modem to prevent interference from the TV signals. You would have to get permission to add your cable modem to the Comcast account owners account and Comcast would have to support connecting more than one modem in a household (they probably due but will want an extra charge of some sort).
So to sum it up it will take some doing and it will not work without Comcast being involved and aware that you are adding the modem.
I would suggest that you do what I do and purchase a Gigabyte switch (8 port gig switch around $39.00, cheaper than a modem) and run a Cat5e or Cat6 Cable straight from the current modem to your switch and you will have 1GB links for all your systems. If you need or want wireless access then buy a wireless router without the modem and run the wire to it. You will have your own segregated wireless network and 1G wired connections for your desktops.
Hope that helps.