To answer your question
1) yes its bad
2) living on two grand a month doable, yes, in a MH, possible, but not smart. MHs are the number one most expensive form of RV there is. You could easily spend up words of 2000 dollars just for a set of tires. Maintenance could kill your monthly income with just one breakdown.
To live that cheap you will need to find some form of supplimental income, camp hosting to pay for your monthly site fees would help. How do you plan to pay for health insurance? Some retirees report 500 a month for premiums. Do not even attempt to rely on medicare part a only. One hospital stay could bankrupt you. Living full time is not cheap. Park rent could set you back 500 a month, insurance?
You really need to sit down and write an honest budget including everything then come back and tell us how much disposable income you have.