Probably...
Unstable over long times but stable enough for human timescales. If you imagine you had the technology to create such a system you could keep fine tuning it to maintain order.
What I was really doing was trying to avoid a scenario where the Moon got in the way. Either removing the Moon first or allowing a Mars-Moon impact in Earth orbit would be a very dangerous thing.
Maybe you could swap the Moon into Mars Orbit and allow it to slowly descend to the Roche limit.
That would supply an efficient way of thawing volatiles in Mars' crust!!!!
:-)