Typically you'd use
lagg(4) configured as LACP to produce a 4gb/s interface, to which you assign your network parameters.
You'll need the matching capability on your switch and the 4 ports connected to the 4 above will also be configured in whatever the vendor calls a lagg (Enterasys=Port Aggregate Group, Cisco=Port Channel).
Note however that this doesn't create a 'pure' 4gb/s interface. The flows are typically hashed with the 5 tuple of protocol,src addr,src port,dst addr,dst port onto one of the 4 ports.
The net effect is if you copy a file between two hosts, you'll get 1gb/s. But you should be able to parallel a 2nd copy to a different host (depending on how the hash algorithm assigns the flows) and get an aggregate of 2gb/s, etc.
More responsive? No, the propagation times remain the same and technically it'll be very slightly slower because there's more network code to run through.
So if you are talking to a couple of different hosts connecting to this system, I doubt you'd see much improvement. If you are talking to 20+ you should see decent distribution across all the ports.