And I would doubt any hiker would have issue with you hiking with the bike on your back. At that point you are a hiker too, just with a ridiculous pack.
The Wilderness Act disallows
possession of a bike as I've tried to point out, so carrying it isn't some sneaky loophole. I would think the same for partially disassembling it, as the spirit of the Wilderness Act is what's important. It's a Pandora's box to open, and once opened, we're not just talking about bicycles, are we? Could I partially disassemble a car and bring it through Wilderness? Everyone cool with that?
Being a good steward of bicycle travel does mean following the rules set forth by the land managers of the area. If it's Wilderness, it's a no-go for bikes - that's all you gotta know.
If one would like access by bikes to be broadened (which I would be supportive of, on a case-per-case basis, and especially when utilized to traverse across areas where no other safe access can be found), it's most likely best to do this through diplomacy + community action, rather than breaking the rules and being a bad trail user, because of the feeling of privilege that I can do a thing, because no one with real power (other trail users) is going to stop me, and if they don't like it: tough cookies for them. Who would fine me, anyways: the increasingly understaffed and underpaid land managers? That's a riot.
To me, it's no different than a rule that says some trails can't be ridden by bikes in a local trail system because they're hiker only, or that trails close because of conditions would be that if you rode them, you would damage them. For the greater good, and to Do The Right Thing, I abide by these rules. It's not my right to disregard them.
Which is, as a community, what we've been doing in the grand sense of things, right? Take the Colorado Trail, Arizona Trail - even the GDMBR - they all reroute around Wilderness.
As the West gets ever more populated, this will become a more prickly topic. You can start to feel my own thorniness come up. One of the goals of Wilderness is to provide a hunk of land where humans have a smaller footprint of impact. It's not like we're making a whole lot more Wilderness out there, but we sure are making a whole lot of us.
Do bicycles always fit into the idea of a place of conservation?