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Once you get such a hodge-podge of antennas tied together, it's impossible to predict whether or not it will work. You'd simply have to try it and see.
Trying to combine multiple antennas with a $5-10 device is going to be potluck. Cable and satellite companies spend hundreds (or more) per channel on custom filters, combiners, and amps to do that type of signal combining and processing.
The usual reason for combining failure is a desired signal that is supposed to come in on a particular antenna also comes in on one of the other antennas with sufficient strength that the signals, when mixed in the combiner, combine out of phase (aka phase cancellation) effectively creating the same effect as co-channel interference.
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