Well, my home internet connection is around two megabytes per second.
Do you mean two mega
bytes per second, or two mega
bits?
Network bandwidth is usually measured in bits, not bytes.
Even so, that's your connection speed between your router and your ISP. Having multiple connections to your router isn't going to help any - you could have 100 connections all running into your side of the router, but they're all going to get throttled by the bottleneck at the router - it isn't two megabits per connection, it's two megabits shared by all the connections.
So, given that, there is little point in trying to connect both links from a speed perspective. There could be some benefit from a network redundancy standpoint if you could do it, but you can't bind different interface types, so that's moot.
On the other hand, if you already have an ethernet cable running to your system anyway, you might as well just use that. It will be more reliable than your wireless connection and as I've already pointed out, you won't get any faster performance by using multiple links, so you're not losing anything.