I don't know how a pulse transformer is going to help you, other than by providing isolation. Is the power MOSFET sinking to ground or is it high-side switching? If it is sinking to ground then your gate driver does not need isolation. You mention the gate drive requirement of 1.5A. Are you sure it is a requirement, or just a maximum rating for the MOSFET? Normally MOSFET gates are ultra high resistance, needing almost no gate current at all to keep the switch on. However the gate exhibits a very large capacitance, so a feeble gate driver will take a long time to charge that capacitance while a high current gate driver can charge the gate capacitance very quickly. And while the gate is charging, the gate voltage is not allow the switch to fully turn on. Therefore the MOSFET conducts some current and dissipates a lot of heat. It could even burn up. But if MOSFETs spend most of their time either fully on or fully off then they can run quite cool, and may not even need a heat sink. So the considerations for designing the gate drive should take into account the expected switching frequency as well as the switched current. You cannot do it just by looking at the gate maximum current rating. Depending on your application, the gate drive may be simpler than you think.
On the other hand if you have already done this calculation and are sure you really need 1.5 A gate drive then a transformer can only deliver more current if it is supplied with more voltage. If your 200 mA output is available at 80 V then you could use a 8:1 pulse transformer to produce 10 V at 1.5 A.