Disagree. I'd recommend the opposite, do mostly weights and some cardio. You don't need to buy equipment, barbells etc., bodyweight exercises is weight/strength training.
However, both should be done! Cardio is good for your heart. But it's easy and healthy enough to maintain a good aerobic fitness just once a week. Weight training keeps you burning calories and I think strength is more practical/useful in our day to day lives, thus having a greater impact on your psyche.
Bottomline, something is better than nothing. And if you love running... go for it.