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I feel your pain. I am in process of clearing a property line at a campground. The line is just shy of 5000' long and I'm clearing a 10' wide swath through heavy underbrush. I too have vines. MY biggest issue is hordes of MultiFlora Rose in addition to the wild grape than never fruits, the poison stuff and God knows what else.
The approach I have been taking is to clear the underbrush first. I am cutting the vines that go all the way up into the trees off at about 6' height and working around any trees larger than about 4-6".
My plan is to leave the trees for last. The property has over 20 some corners and only those corners are marked at survey accuracy. I want to get line of sight, corner to corner, before I am taking down larger stuff. Secondarily, once the underbrush is cleared I have a safe work area for doing my chainsaw work.
The tools in my arsonal for my project - Husqvarna 372XP 24", Husqvarna 51 18", Stihl K90 with pole pruner and brush blade options, and lastly I rent, from time to time, a BillyGoat brush hog. I would love to have your Kabota on site with a brush cutter. Oh, half the property is inaccessible to vehicles due to streams and floodplane.