You can't create infinite information from a set of rules. Kolmogorov proved that the true amount of information in a signal is the size of smallest ruleset to produce it. The rest is really just fluff, from an information science perspective.
See: Kolmogorov complexity, and the field of algorithmic information theory.
It's moreso the reverse, having a VP that opposes the president especially on foreign policy allows them to collude against the White House. This was a big problem in the Obama administration with Biden frustrating Obama's foreign policy at times.