There was one 1981 study which did not find a significant reduction in oral conditions from orthodontics. Therefore more work is needed. However, the consensus is that orthodontics does lower the risk of oral disease. The studies cited above seem to suggest that oral disease raise your risk of heart disease. I do not know.
Cardiovascular disease takes many years to develop.
There have not been any studies on the influence of adult orthodontic treatment on cardiovascular disease. The FDA has not approved any treatments. In particular a bacteria called Steptococus sanguis is substantially reduced. This is the bacteria which has been shown to induce. It happens that Colgate total contains triclosin.