Issues with battery

So, I've been noticing that my bike dies pretty easily on cold startups. It all started after that one time I let the stock battery die on me. Now, after I installed an aftermarket air filter, it's gotten worse. Twice now, the bike dies at idle and the battery is dead. A push start restarts the bike and runs fine. I have to run my idle a bit high to keep it from stalling.

Now, I'm assuming that the increased air flow from the BCM filter is causing some fueling issues. I'd rather not have to purchase a PCIII. Hell, if it would solve the situation, I'd go back to the stock air filter. The cover isn't cut or anything like that.

I just ordered the Shorai Lithium Iron LiFePO4 Battery LFX18L1-BS12 battery. I wanted to get that anyway. Hopefully, it will fix everything. Any thoughts?