If you're doing your own property maintenance, a loader is REALLY handy, so no I don't think you're nutz for wanting one for maintaining 1.5 acres. Plus, you could plow your driveway with it. I'd skip the backhoe though, instead would get a stump bucket for occasional digging.
Also, although I'm not a big fan of midmount mowers on a scut, in your case I'd get one instead of a z-turn. If it takes you 1.5 hrs to mow with a walk-behind, a mmm 60" deck will halve that time. If I was you, I'd have the loader off mostly, keep the tractor set up as a mower. And then would mount the loader when needed.