Well your first mistake was buying a Burton. Sorry dude.
Are they Burton bindings? If so, yes they will fit. If not, you need to purchase a 3-hole baseplate. For some reason Burton thought it would be a good idea to make it so that only Burton bindings can go on their boards.
easy ashly i had a burton dominant and burton mission greeds and that was one of my favorite set ups ever but yea that was a while ago. to mee it seems that with burton its either hit or miss sometimes their stuff is good and reliable and other times it just breaks, and to answer your question you might get some toe drag but if you angle your bindings a lot that might help