No you do not.
While in all practicality the answer is Yes; but there is a very important assumption that many people are making.
The condition of CC-SA licence is that if you distribute the derivative work you must distribute it under the terms compatible with this licence. Firstly this implies that there is a chance to find a different licence, which is compatible with it. Secondly, you can chose not to distribute the work and not to perform it to the public. This can be a family video that we are talking about here, that you intent to only watch yourself or with a close friends/family (which can be argued as not being "performance"). If that is the case, nobody is going to demand that you release the work to the public under any licence at all.
Unfortunately i was unable to find the text for CC-SA licence on CC website, but here's what CC-BY-SA say:
Section 3 - License conditions
Your exercise of the Licensed Rights is expressly made subject to the following conditions.
1. If You Share the Licensed Material (including in modified form), You must:
2. You may satisfy the conditions in Section 3(a)(1) in any reasonable manner ...
3. If requested by the Licensor, You must remove any of the information required by Section 3(a)(1)(A) to the extent reasonably practicable.
In addition to the conditions in Section 3(a), if You Share Adapted Material You produce, the following conditions also apply.
1. The Adapter’s License You apply must be ...
2. You must include the text of, or the URI or hyperlink to, the Adapter's License You apply...
3. You may not offer or impose any additional or different terms or conditions on, or apply any Effective Technological Measures to, Adapted Material that restrict exercise of the rights granted under the Adapter's License You apply.
As you can see everywhere it talks about conditions on the distribution, and not the use of the work in question. That is because it is impossible to limit the use of the work by using copyright, since only the act of copying, exhibition, and broadcast can be limited. Otherwise you would be unable to sell a book that you've bought, having to get the licence to do so from the author/publisher.