Actually no. The troop deposition at OTL rebellion time was rather... idiotic. It was arranged in such a way that had Argyll been defeated, they had no way to mount an effective defense. By effective I'll define as cobbling together a force of at least 4,000 to confront the rebels' advance, because any less would just get steamrolled. Other formations could not be mobilized in the time it took for a march on London, were too small, or were out of contact. John Churchill of Marlborough had 32,000 (some astute members on the forum and Stuart fans hopefully note that they are more loyal to Churchill and the idea of England/Britain's crown than the Hannover regime... but he is loyal to George I so that's a completely moot point) and could easily reinforce London or even march north to intercept the rebel army. However, in OTL he opted to send three teams of cavalry scouts to asses the situation, scouts who incompetently got lost before reaching Northumbria (apparently they couldn't read road signs). So if Argylle gets defeated or defects, it's entirely probable that the rebels march right into London with the only force large enough to respond in time sitting around on its thumbs doing nothing.
Of course, the rebels then have to try to actually run the country. This is very unlikely. It's an exaggeration to say they have no support, but most British don't want them there. There were strong Jacobite sentiment in Cornwall, Lancashire, and Kent, even crossing religious lines. This is surprising since there were English Angelians who wanted a Catholic to be in charge of the Church of England. Even more surprisingly, the sentiment in favor of the rebels in Scotland and Ireland was considerable even among protestants and reaching very high levels among Catholics. However, 3/4 of the population base at that time was in England and aside from some unusual locations, the Protestant majority did not want the rebels. In other words, the rebels lack support and legitimacy in most of GB.
George can just retreat to Hannover and wait for the counter-coup and he can be restored in style. The Jacobites have no reasonable way to hold the country. In short, while the troop deposition and communication network was completely ill suited towards countering either a coup or a rebellion from Northern England or Scotland, there is no realistic way for the Jacobites to hold the damn country together. The Georgite loyalists can beat the Jacobites simply by calling for passive resistance.