Should tobacco taxes be increased to pay for early childhood education?

http://www.ksl.com/?sid=26999790

The above link will take you to an article from Salt Lake City, Utah's local news dated September 26, 2013.  This article talks about what it could mean to Utah low-income preschool aged children if we were to adopt President Obama's proposal to increase tobacco taxes and use the additional tax money to fund early childhood education programs.

I was most interested in "how" they would use the funds.  I want to know if these increased funds would help supplement the cost of childcare/early childhood education for children and families that my organization services.  The article indicated that if they made the proposed increase of 94 cents per pack, it would fund an additional 4,135 children in preschool each year.  This was exciting for me.  Then I learned in the article that it would be proposed that the money only go to preschool aged children in Head Start or a Title I school. 

While I believe these may be good options, I have a few problems with this. Children who attend Head Start and Title I preschools typically are targeted to children who have a parent or other caregiver in the home.  They are offering part day services, 2-4 days per week for anywhere from 2-3 hours per day.  This does not address the many children who live in poverty but whose parents work outside of the home.  There are parents who are working parents who do what they can for their children, but still live at a level which is considered poverty or extreme poverty.  Parents struggle to find quality care for these children simply because they cannot afford very much each month.  Many times, these children are left with neighbors or others who do not know what the needs of these children are and how to meet those needs.  The result becomes these children walking into school at five years old and not being in a position where they are ready to learn.  Then they cost money for years to come as the school district uses federal money to try to catch them up.  While this may be the same concept for federally run programs such as Head Start or the Title I preschools, I think the demographics of children being served is much different.  What are we doing for children who need full time care?  I think we need to look into private and non-profit organizations who are able to supply children who need full day services of high quality early childhood education the same rights to this type of funding.

And what of the children who do not qualify for Head Start or Title I preschools?  Are they left out too? They are not in need of early childhood education?  Is there not ways to fund alternative preschool programs such as parents as teacher programs or at home preschool programs with things parents can be doing with their kids at home.  Or what of the parents who don't qualify for these federal programs but still struggle financially and they would like their children to attend preschool?

What do you think of this plan?  Should we use tobacco taxes?  If so, how should the money be used/distributed?