With excess of methylamine, I wouldn't exclude additional methylation, yielding a trimethylanilinium iodide. However, the reaction should stop there since a further hydrogen abstraction from a $\beta$-position isn't possible.

With excess of methylamine, I wouldn't exclude additional methylation, yielding a trimethylanilinium iodide.

However, the reaction should stop there since a further hydrogen abstraction from a $\beta$-position isn't possible.