Have the state pay me for my role as a Mom and Wife? No.
In my role as a Homeschooler, however...
Since my state dictates what subjects I must teach, in what years they must be taught, requires submission of attendance records, standardized test scores, compilation of a yearly portfolio of work samples showing educational progress for each child...including objectives and evaluation by a licensed third party whom I must pay for service in order to remain "In compliance" with state law, (at which time the state then subjects us to a separate review by school district personnel who, more often than not, do not know the legal requirements they are supposed to be enforcing)
Yes. I think that since the state is MASSIVELY intruding into our home education program, we should be compensated for our time, and the cost of materials related to our educational activities. An amount equal to half of what the school district would be allotted for my child if they were enrolled seems fair. Otherwise the states with high homeschooling regulation have effectively set up an UNFUNDED EDUCATION MANDATE. This is unacceptable.
The state can't have it both ways. Either private families pay for all costs of homeschooling, and the state completely butts out, or the state coughs up funding and they can have a say, and a peek into the child's progress. No public funding for a child's education = no public accountability for that education. Pay to play, folks...