Taxes will certainly need to be adjusted, but it's not at all clear whether implementing these programs will cost people more or less overall. When we take into account the costs of health insurance for both insured and employer, universal healthcare is expected to save money overall, while providing better coverage for everybody.
The same reasoning holds for college. Costs in our present system are outrageous, and a major source of debt for young graduates, who would normally be ready to buy houses and cars. Other countries do not have these problems. There is no good reason to stick with our system.
But more importantly (I think), people need to understand that taxes don't pay for everything. Governments are completely capable of self-funding, the real limit being what the domestic economy can produce. (Please, no more inane arguments about the government giving everybody billions, hyperinflation, or any of the other trite and oft-debunked arguments of the uneducated.)
The proof of this should be obvious. The government deficit spends a significant amount almost every year, with no inflation or other ill effects. It does not cost us anything in the future, either. It never has, and it never will. That's just the way that money works. People, and even some economists, are finally waking up and listening to what MMTers have been trying to tell them for years - deficit spending is not a bad thing.
