There are parts of the trail you may get strapped up no matter what tire size you have. LOL It's gotten pretty tough. My qualifications for getting through the trail is being prepared, not throttle happy and being able to listen to your spotter.
So yes, you will use you're rear locker and BTM a lot.
Best timeline is Day 1 - leave the trail head from Loon Lake, and loop down to Wentworth Springs - play in Lost Sluice, get some exploring in, swimming in Gerle Creek, and camp. Day 2 leave WWS and play in the Devils Postpile on the way out, get to Spider Lake /Little Sluice for lunch maybe some more swimming, hiking and camp. Day 3 on to Buck Island and the Springs for camp, lots of exploring and history to see there. Day 4, have a lazy breakfast and head out Cadillac.
The fact is you may only do this trail once or twice in a lifetime if you are not a local....so you may as well really take it in and experience the cool stuff most people don't take the time to see.
I recommend a weekday trip if we are bringing mostly stock vehicles of any variety, H1, H2, or H3. I've done the trail with all of them

Heading in on a Sunday could be busy during the summer. If that's what we end up doing, we'll need to abandon Loon Lake and the granite bowl and just go in Wentworth Springs. (It's my favorite way in to the trail...)
Here's a map
http://blog.lowrangeoffroad.com/wp-content/uploads/2016/08/map-Rubicon-Trail-1170x710.jpg