Great question.
I wish the CP well, and applaud
any third party candidate or independent for attempting to buck the two-party system. It's tilting at windmills and the work rarely bears fruit, but it's important work.
That said, the CP are too biblical for me, and although some of their platforms overlap, I can't see a coalition working too well. Not that the CP is entirely at fault: the LP is like a group of cats: difficult to herd, difficult to stay on message. Just last month, a portion of the LP wanted to nominate for president a man wanted in Belize, suspected of murder. It's that sort of thing that the media portrays as
whack-a-doodle, and which makes the LP look bad. (Luckily, the LP came to its senses and selected what the media is calling the strongest ticket the LP has ever fielded.)
The LP was strained almost to the breaking point during the convention; I can't imagine trying to collaborate with another, albeit smaller, party would go down too well. Besides, Third Parties have a long history of breaking off from each other, splintering into smaller and smaller factions, rather than coming together.