Within reason, they provide cover and shelter, also a backup food source in lean times. I'd say it would depend on the coverage.
If you have access to a tractor with a front end loader (FEL) cedars are easy to push over since they have a shallow root system, they there are no stumps to wait 20 years to rot away.
If you can push/pull up the PP and place it in piles, then in a year when it is thoroughly dried out, burn it, that way you don't have a ton of dried leaves and stickers everywhere. Just note, any PP leaf pieces touching the ground will take root. I was on a lease outside Sterling and pile and burn is how they do it there as well and bother, they have the prickly pear!
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The first 5 day's after the weekend, are the hardest....