I have 2 different signals coming in I wanted to be able to switch between them (choose what to transmit) using a simple DPDT switch. I have the following configuration, but I feel like I'm missing something in my schematic.
From your text I understand that you have two signals which you want to switch between for broadcasting. As in: Two inputs(signals)/One output(antenna). The DPDT switch you're using has two outputs. You might be looking for a SPDT switch.
Please give us more background information, like the type of signals and frequency of these signals.
As for the simple DPDT switch. You might be able to pull this off if it's a simple hobby project and the frequencies stay in the MF band or lower. For everything else, please don't do this. It probably adds a lot of parasitic capacitance and inductance to the signal path which won't help if you want a nice power transfer. RF is a delicate and very precise field where every parasitic property matters.
But there are options, there are dedicated RF switches out there and you might also find DIY schematics on the internet.
You might want to use a transfer switch.
A transfer switch has 4 ports, which I'll call P1, P2, P3, and P4. In one state, P1 connects to P2 and P3 connects to P4. In the other state, P1 connects to P3 and P2 connects to P4.
In your situation, you'd connect source 1 to P1, source 2 to P4, antenna 1 to P2, and antenna 2 to P3. Then your two states would be
S1 -> A1 and S2 -> A2
S1 -> A2 and S2 -> A1
An example of a transfer switch, which might be overkill for your application, is Minicircuits MTS-18-12B+. For lower frequencies, it's also possible to construct a transfer switch from two SPDT switches.