High intensity weightlifting is much better for muscle-building. Having more muscle also increases BMR in addition to any calories burned during the lifting sessions.

The old adage "abs are made in the kitchen" applies here. What it means is that diet is the biggest factor in weight loss or gain because "you can't outrun [or outlift] a bad diet". Maybe you run a mile and burn 250 calories, but then eat a donut (which probably has close to that) because "you deserve it". You just lost all that work. 

Everyone has their own opinions about the optimal way to lose weight, but what I have seen work best and most quickly is:

1) high protein;
2) low carb;
3) low fat; and
4) sprints

Once you hit your goal weight, adjust accordingly but it's usually good to keep the high protein to minimize any muscle loss.


needcreations_

Depends on what you do for weightlifting, but neither of these are optimal for weight loss.