Taking the time period into consideration, it is best to learn the Vedas from the scholars of our tradition. If not possible, as there is a scarcity of Vedic scholars who can impart the Vedas, there is no harm in learning the Vedas from them. It is important to learn the Vedas.
The Vedas say that all demi-gods reside in the Brahmin who has learned the Vedas. Krishna has said that he reveres the Agnihothri. Hence, even if they belong other traditions, there is no harm in prostrating them.