My husband also had a diagosis of moderate dysplasia after his initial biopsy, done by an oral surgeon, of a very small area of a leukoplakia (white patch) on his tongue. Because cancer hadn't been diagnosed, the oral surgeon referred him to a "general" ENT for an excisional biopsy that removed the whole thing -- and the results of that biopsy turned out to be very early stage SCC. (Note that most dysplasias do NOT turn malignant.) At that point my husband began to see an ENT at Johns Hopkins, a top-rated cancer center; fortunately, that doctor determined that no further treatment was required.
If I had to do it over again (and I hope I never do!), I'd urge my husband to have the excisional biopsy done by an ENT who has seen a lot of oral cancer, like the doctor he ended up with at Hopkins. In his case, that would have saved some time once cancer was found.
I'll let others who have had laser biopsies weigh in on that treatment -- my husband had no experience with that. Best of luck with whatever you decide.