There are many potential issues here.
1.) The Cisco PIX 501 will not be able to support dual WAN interfaces. You will need to get another router that does support it and place it in front of the PIX. Something like a Linksys RV042 may suffice.
2.) The Netgear GS748TPS should work for how you have it planned out.
3.) I believe it will be possible for the phone and computer to reach the Internet through different ISPs, because it looks like the Cisco 7965g phone supports VLAN. This is crucial. Basically, the phone and computer will need to be set to different VLANs and subnets, and the port on the Netgear switch they are connected to will need to be in trunk mode. No real issues with daisy chaining the computer through the phone, but just be aware that if there are any issues with the phone, your computer may lose network access as well.