If it works and is strong enough to last a good length of time, it's a genius mod.
You can in fact buy "Shaft repair sleeves" that are pretty much what you've done there.
https://simplybearings.co.uk/shop/Pr...335/index.html
You could, if necessary, remove the bracket and have the holes machines so that firstly, they are again on the same centre and then reamed and counterbored to accept something like this :
https://simplybearings.co.uk/shop/Pr...234/index.html
One of the flanged "top-hat" bushes each end would work well.
If you don't want to go to the cost of getting a machine shop to do it for you, find the right size plain sleeve bush, use a long drill bit to go through both ends at the same time in a pillar drill then put the bush in the freezer overnight, the bracket in the oven and then push the bush into the bracket. When the bracket cools and the bush expands, they should be tight if you use the right size drill.
You could even buy a used (worn!) bracket cheaply to repair this way, if it works (it should) then you could repair your original and either keep or sell as the start of a cottage industry.