I think the Kibler rifle is too early. In my opinion, a better representation would be a Golden Age Lancaster pattern, like a Dickert, or a Derringer rifle, or a Southern style rifle.
The average reinactor wouldn’t know what kind of rifle is appropriate for a war of 1812 representation.
Just to go over a few facts.
Rifles such as a colonial long rifle would have been available, similar in style but is not exactly correct, but the average person simply wouldn’t know this, so i think a Kilber is ok. I would simply argue that similar style rifles were used, the more common calibers of that were 40-54. Anything in .58 or .62 is probably going to be on the British side.
Muskets for the War of 1812, 1795 springfields are absolutely appropriate throughout the war. Believe it or not, there were quite a number of third model brown Bess contract muskets used on the American side but mostly the New England militia and security contractors.
1803 and 1814 Flintlock Rifles were used by both the military and contracted to militia under the common rifle system.
Northwest guns would have been used by both US and Canadian militia as they were widely traded by that point.
1795 contract rifles and Virginia system military rifles would have been available also.
As far as civilian rifles are concerned, its very hard to say what is appropriate and what is not, by the 1790’s there many styles of civilian rifles being produced in the early republic era. one thing I will say though is that militia units preferred smoothbores for drilling, unless they were of the Rag Tag type units in the South that Jackson had recruited.