This is silly. To a first approximation, zero percent of the opposition to minimum wage increases comes from a principled stance of "I support taxation, even high taxation, but I am opposed to the government interfering in private labor market contracts"; 100% of it is from "they're taking my money!". There is no reason to expect any less opposition from the much, much larger amount of wealth redistribution which would be required by UBI.
What does minimum wage have to do with taxation? It's not the government paying those wages, it's McDonald's, and the opposition to it comes from people who say it will result in McDonalds closing stores or replacing cashiers with touchscreens rather than paying more for employees; ie, low-value labor simply becoming unemployable rather than getting a pay boost.
There are a lot of counterarguments to a high minimum wage, some even from UBI proponents, but none of them are "they're taking my money" because that doesn't make sense in the context of a minimum wage.