I don't think it's a bad idea. In fact, it could be an excellent option. Both a presidential representative democracy and a parliamentary representative democracy have pros and cons. The key is how you structure it and define the incentives that make the chosen political system work. In Peru, in theory, they have a presidential representative democracy. In practice, the Congress/Parliament does what it wants with the President. Not only that, but within Congress itself, there are factions and even political mafias. I suggested you go deeper because it's the best way to learn, not because I consider your statement to be wrong.