I don't see why that would be a problem. The MBTA has been funded this way since 2000.
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I don't understand the "constitutional" part. It is not unconstitutional under the US Constitution for states to determine how they will use their tax proceeds. They cannot make defense expenditures or anything disallowed to states by the Constitution, but there are few restraints beyond the ones explicitly stated.
State taxes are for states to determine for themselves--the Constitution is not implicated in the situation you describe.
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