Good to see no serious injuries to the pilots.
A bad birdstrike can bring a Cessna down - it happened a few years back at the school I am now at (I used to fly at Ardmore Flying School a number of years ago, before I moved to Australia - maybe I am bad luck lol!). A student on his first solo nav had an eagle come through the prop and the windscreen, and hit him in the face, breaking his nose. I am told that without the windscreen, the 172 loses about 20% of its lift (think of the turbulent airflow created), and it is quite a battle to fly. The student managed to put it down in a field, and he could walk away, although the aircraft was written off.
According to our chief pilot, who also had an eagle-strike, but managed to get the aircraft (a 152) back to the airfield, you need to set best rate of climb speed (i.e. maximum power excess) for the height you are at, in order to have a chance at covering any distance. With a broken nose and the wind blowing a gale in your face, I can imagine it would be very difficult. Unfortunately birds are one of those things you have little control over, other than keeping away. Certainly at low level you are much more likely to hit them. However, some birds, like eagles, will have a go at you even at altitude, and there is not much you can do about it!
"So powerful is the light of unity that it can illuminate the whole earth." - Bahá'u'lláh