Why are Ethernet/MAC addresses needed?
The different networking layers are there to allow them to be swapped for different technologies.
The two layers you are talking about here are layers 2 and 3. Layer 2 in this scenario is Ethernet - from which MAC addresses arise, and Layer 3 is IP.
Ethernet only works at the local level, between network devices connected to a broadcast network "datalink", whereas IP is a routable protocol and so can target devices on remote networks.
The requirements of each of these are different. Ethernet specifies a family of technologies that allow packets to be sent and received between network devices, whereas IP defines a protocol that allow packets of data to traverse multiple networks.
Neither is reliant on the other, which is what give networking its flexibility. For example, you may choose to connect to your internet service using IP over ethernet, but in your internal network, you might choose to use IP over... paper. Where someone writes down the contents of each packet and physically walks it over to another machine and types it in. Clearly this would not be particularly fast, but it would still be IP provided the person carrying around the bits of paper respecting IP routing rules.
In the real world there are different datalink protocols that you are already using two different ones (although their addressing schemes are the same): 802.3 - ethernet, and 802.11 - wifi.
IP doesn't care what the underlying layer is.
Equally, IP can be swapped out for different network layer protocols (provided it happens for all participants). Such as ATM.
While there is nothing directly preventing the creation of a protocol that encompasses both layer 2 and layer 3, it would be less flexible, and so less attractive, and so unlikely to be used.
Where would this decision of whether to process or ignore the packet be done? No answer is really satisfactory:
1) In the switch? Well, that would mean that switches have to understand every protocol that determines which computers are interested in which packets. That would not only increase the cost of switches and reduce their speed but it would make changes in the IP protocol much harder to deply.
2) In the hardware of the Ethernet interface? Well, this would make the network much slower as every data packet has to go to every machine. Technologies like WiFi and bridging networks with slower bridges would be impossible. Having Ethernet running at different speeds interoperating would be impossible. Technologies like IPv6 or IP multicast would require hardware changes to deploy in all Ethernet end stations.
3) In software? Well, this would make computers much slower as they have to deal with a much higher number of network interface interrupts. All the bridging, VPN, and Wifi concerns mentioned above would be issues too.
All of these would make Ethernet unusable without IP and would mean changes in Ethernet would be needed to make changes in IP. Yuck.
Separations of concerns are good.
IP address and MAC addresses operate on different layers of the internet protocol suite. MAC addresses are used to identify machines within the same broadcast network on layer 2, while IP addresses are used on layer 3 to identify machines throughout different networks.
Even if your computer has an IP address, it still needs a MAC address to find other machines on the same network, since every layer is using underlying layers. On the page mentioned earlier you can find some nice diagrams explaining the protocol suite in detail.