Strength will always be the most important thing that you can train. Being able to run a marathon is cool. So is being able to sprint 100 meters in 11 seconds, or having huge symmetrical muscles. It's also great when people who have perfect flexibility from Yoga or perfect posture from Pilates, but what good does any of that do anyone when the proverbial shit hits the fan?
If my strength was limited by a maximal effort of a 185 pound deadlift, then each scoop becomes 13.5% of my capability. Even further, if I could only lift 95 pounds off of the ground, then each scoop of snow becomes 26% of what I could do for a single effort. This could be why so many old people die each year from shoveling snow! That's why we lift all those heavy-ass weights!
Obviously this post was intended (slightly) in jest. But the point is still serious: the stronger you are, the easier things become during your daily life. Everything else is great and should be trained in an appropriate fashion, but when it comes down to it you need to be strong, because strong people are harder to kill than weak people, and more useful in general.
Have a great day, and go lift some heavy shit!