First thing is the legal question, in CA you need brakes at 1500# so you are there. In Alaska you don't require brakes till 5500#. Every state has its own threshold.
I tow 2K# behind my TJ all year without brakes. I have over 100K miles in the mountains and have never felt a need for trailer brakes, in BC the threshold is 2950#.
Check your state requirements. Honestly I prefer to not have trailer brakes when travelling thru bad weather, rain, snow etc, I know you can adjust the trailer brakes response but I find it more predictable to just adjust my driving style based on "I have no trailer brakes".