$7500 hybrid car credit and child tax credit?

I'm planning to buy a 2019 pacifica hybrid.  I read I need to have a federal tax liability for the year of $7500 to have the hybrid credit offset it.  I also have 2 children, married filing jointly.  When i estimated the federal tax for the year on my $100,000 of income, it was around $8,500.

If i have a $7,500 credit for buying this van, and a $4,000 child tax credit for my two kids, will I end up getting a $3,000 check from the IRS, or do I need to have a tax liability of $11,500 to "enjoy" both the car and child tax credits?