When I was younger and had most interest in non-useful things (in a boring sense) I came to "the theory" that each time observation or logical induction is performed, the universe splits into many variants ahead of time and these variants that produce "oops" in terms of contradiction simply disappear. Each time you see something weird but real, it is oops that survived, because you didn't see something contrary yet (and now you cannot, because only one thing has to be remaining).
That made me sad, because we could come to hyperdrives and FTL journeys to alien worlds, but some people in 20th century made few observations and conclusions that now prevented fun forever. Magic things were easy before the technology, now they are physics-hard. Our universe is spoiled in a very wrong way.
I feel that assuming that the nature of how the universe is computed matches up with our first intuition feels a bit like the assumption in geocentrism that the universe matches up with our intuition of Earth being the center and the most significant body.
Even if you accept the basic premise of the universe being a simulation, there are still many ways it could work with MWI. The simulator's universe needn't have classical physics; the simulation could be running on quantum computers or something more advanced. Or the simulator's universe could be classical with a classical computer doing the simulation at exponentially-decreasing speeds as it has to simulate the increasing number of branches. It wouldn't make any difference to us how long the simulation takes to compute us, as long as the simulating machine doesn't break down and succumb to entropy. The simulator's universe could be something like Conway's game of life, and the simulation is running on a turing machine pattern which will never decay or break down. (I might be borrowing more than a few ideas from Permutation City here.)
If the universe gets cloned one time every second that would still be a huge claim.
A million times every nanosecond is even a bigger claim.
Now imagine how many states the universe can be in, and how many times a second can be meaningfully divided.
If you can solve the "one clone every second" then I would be satisfied.