Exactely.
However, instead of solid black, I would recommend a very dark grey, which will make the glass not completely transparent.
Those reflections are a bit too strong, but they look nice. If you remove them completely (by setting the glass to total transparency with a solid black alpha channel), you will get a cockpit with no glass at all, which doesn't look so realistic at all.
By setting the alpha channel to a dark grey, the reflections will still be there, but they won't harm your vision as much as before, and the glass will still look consistent.