I don't know if I missed any pics of your tabernacle or if this could be helpful. I had trouble picturing the round clamp you linked around a tabernacle. Anyway, here is something I used. The principle should be similar whether at the top or bottom.
The spruce mast in a wood tabernacle on a former 23ft boat pivoted at the top of the 2 sided tabernacle. The bottom of the 27 ft mast was square and clamped in. The mast, tabernacle and the pivot through the mast arrangement were designed back in '94? by Phil Bolger. He did not detail a clamp for the bottom. I used angle iron, front and back drilled to accept bolts that ran fore and aft along the sides of the tabernacle, clamping the mast. A round aluminum mast might call for something inside the angle iron formed to the mast.
As an aside, along with the mast plans Mr Bolger wrote that he didn't have experience with the rig but "some well respected people swear by it." This was before he tried his hand at his version.