The fundamental problem is the Arduino output is probably below the Vgs threshold of the MOSFETS anyway and certainly won't be enough to drive them to full conduction, especially with the load in the source pin. Remember that the gate has to be above the source voltage by >Vgs threshold before it even starts to conduct, consider how that would be possible if you already raised the primary voltage to push current into the transformer.
You might be able to connect +V to the transformer center, with the drain pins to the ends and source to ground but I would still have serious reservations about drive levels unless you employ an additional driver stage. As Klaus points out, you also need a 'dead time' at the start of the next MOSFET turning on so there is no chance of both being conductive at the same time.
Brian.