The Overton window is shifting as planned.
First, there is no evidence of DNA in the vaccines. Now, well actually there is DNA but there is no reason to think that it alters a person's DNA or causes cancer. The next step will be, "well, okay, it does alter the DNA, but in no harmful way". Then "well maybe it is a bit harmful, but less harmful than catching Covid". Then, "well, maybe it does cause cancer in some rare cases" etc.