Can I replace a cracked matte screen with glossy glass from iFixit?

I've got a MacBook Pro 17" Unibody early 2009 and during recent repairs* I accidentally cracked the screen. The LCD seems fine, no rainbows or what have you, but the surface is cracked. I've got the matte display with the silver bezel, and was wondering if I could replace the matte glass only with this: [produit lié absent ou désactivé : IF162-000]

Second, I assume that if the repair is possible, that the part in question is the usual glossy glass, meaning the display would no longer be matte? Also, if I do the repair, do I need any other parts, such as a bezel for the glossy glass etc?

*the repairs aren't relevant as such, but still a pain; a blown right fan caused battery overheating, causing battery swelling, which destroyed the trackpad (situated right above the battery) as well... $350 in parts and a few hours of labour just because one bloody fan blew...